Which bands became massively popular for covering songs rather than recording originals?
Last Updated: 16.06.2025 19:14
Trivia fans may be interested to know that Three Dog Night introduced Hoyt Axton, John Hiatt, Dave Loggins, Randy Newman and Paul Williams to the larger musical world. Also, that Hoyt Axton’s mother was Mae Boren Axton, who co-wrote Elvis Presley’s first #1 hit, “Heartbreak Hotel,” and introduced the 19-year-old Elvis to Col. Tom Parker, his longtime manager.
“We’ve Only Just Begun,” “Let Me Be the One” and “Rainy Days and Mondays” were written by Paul Williams.
“Better Be Good to Me,” “One of the Living” and “(Simply) The Best” were written or co-written by Holly Knight.
Which country do you recommend for me to live in, England, the USA, Italy, Spanish, or Austria?
“Love Will Keep Us Alive” was written by John Capaldi, Paul Carrack and Peter Vale.
As for major individual artists, Frank Sinatra, Elvis Presley, Tom Jones, George Jones, George Strait, Whitney Houston, Celine Dion and Rihanna didn’t write any of their major hits, to my knowledge. Elton John wrote music but Bernie Taupin typically composed his lyrics. I have seen the great Janis Joplin included in such lists incorrectly, because she wrote “Mercedes Benz” by herself and “Down on Me” with Eddy Head, and those are two great songs. Aretha Franklin usually recorded songs written by others, but she wrote the excellent “Think” which rose to #7 on the Billboard Hot 100, and “Rock Steady,” which reached #9.
“I’ve Got You Under My Skin” was written by Cole Porter.
“Red, Red Wine” was written by Neil Diamond.
“Rock Me on the Water” was written by Jackson Browne.
“Summertime Blues” was written and recorded by Eddie Cochran (and covered by many other artists). Suggested by Michael Gibbs in the comments.
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Paul Williams wrote three hit songs for Three Dog Night.
“Hush” and “Down in the Boondocks” were written by Joe South.
Disturbed
And now, without further ado, here are artists who didn’t write some of their best songs…
“Hallelujah” was written by Leonard Cohen. “Hallelujah” has also been covered by Andrea Bocelli, Michael Bolton, Bono, Jeff Buckley, John Cale, Neil Diamond, Celine Dion, Bob Dylan, Judith Hill, Jennifer Hudson, K.D. Lang, Willie Nelson, Pentatonix, Elvis Presley, Regina Spektor, Rufus Wainwright, and pretty much every singer under the sun!
Richard Harris
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“Puppy Love” was written by Paul Anka.
"Since I've Been Loving You" is nearly identical to “Never” which was written by Bob Mosley and recorded by Moby Grape.
“On Broadway” was written by Barry Mann and Cynthia Weil.
Is it wise to SECRETLY expose a narcissist by telling others that he/she is a covert narcissist?
“All Along the Watchtower” was written by Bob Dylan.
“Kentucky Woman” was written and originally performed by Neil Diamond. It was Deep Purple’s second single in 1968 and reached #38 in the USA.
The Who
I have a bad reputation and need help. What should I do?
Tom Jones
“Take It Easy” was the Eagles’ debut hit and it was co-written by Jackson Browne and Glenn Frey.
Patti Smith
Why was Nietzsche against essentialism?
“Money (That’s What I Want)” was written by Berry Gordy and Janie Bradford.
Doobie Brothers
Frank Sinatra
What would have happened if Shin was a good movie instead of a bad one?
“Shambala” was written by Daniel Moore.
“Lalena” was written and performed by Donovan.
"Til There Was You" written by Meredith Wilson for his musical The Music Man.
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My original answer did not include individual singers, but I received so many excellent suggestions in previous comments that I have expanded it. And solo singers do, of course, employ bands. Session musicians form bands, however temporary. Again, I am interpreting the question broadly. If that freaks someone out, no one is forcing them to read — so “no harm, no foul” as we used to say in pickup basketball games.
Bon Jovi
“Everybody’s Trying to Be My Baby,” “Honey Don’t” and “Matchbox” were written by Carl Perkins.
What can I do to deal with disrespectful children?
“An Old-Fashioned Love Song,” “The Family of Man” and “Out in the Country” were written by Paul Williams.
Pat Benatar
“Livin’ on the Edge” was written by Mark Hudson, Joe Perry and Steven Tyler.
Why do men like low maintenance women?
Paul Carrack wrote “Love Will Keep Us Alive.”
“Both Sides Now” was written by Joni Mitchell.
“All By Myself” was written by Eric Carmen.
Bruce Springsteen
“I Wasn’t Born To Follow” was written by Carole King and covered by the Byrds in the movie Easy Rider. Suggested by Michael Macbean in the comments.
“Back in the U.S.A” was written by Chuck Berry.
“School Days” was written by Chuck Berry.
Osmonds
"Speed King" borrows from Haydn’s “String Quartet in C.”
“Darlin’” and “Time to Get Alone” were written by Brian Wilson of the Beach Boys.
My Bonnie (Lies Over the Ocean) was the Beatles’ first single, a traditional song.
The English version of “Ring Ring” was translated by Neil Sedaka and Phil Cody.
Rod Stewart
The Beatles started out as a cover band and never stopped covering songs: 21 of their first 46 recorded tracks were cover songs.
“Alison” and “Girls Talk” were written by Elvis Costello.
Jimmy Webb wrote the much-lampooned “MacArthur Park” as noted by Ronny Hoff in the comments.
“Amazing” was written by Richard Supa and Steven Tyler.
Carole King
"Whole Lotta Love" was nicked from “You Need Love” by Willie Dixon, which Robert Planet later admitted. A court ruled in Dixon’s favor.
“Mr. Tambourine Man” was written by Bob Dylan.
“I’m a Believer” was written by Neil Diamond.
“You Belong to Me” was co-written by Carly Simon and Michael McDonald.
“Help!” was the band’s fourth single, a cover of a Beatles song.
“My Way” was originally a French song called "Comme d’habitude” composed by Jacques Revaux with French lyrics by Giles Thibaut and Claude Francois. Paul Anka wrote the English lyrics.
“Your Song” was written by Sir Elton John and Bernie Taupin.
“One” was written by the great Harry Nilsson.
“I Was Made For Loving You” was written by songwriter pros Desmond Child and Vini Poncia.
“Love in Vain” was written by legendary bluesman Robert Johnson.
“Up on the Roof” and “Some Kind of Wonderful” were written by Carole King and Gerry Goffin.
“Knockin’ on Heaven’s Door” was written by Bob Dylan.
Paul Revere and the Raiders
“Good Times” was written by Sam Cooke.
“Georgia on My Mind” was written by Hoagy Carmichael and made popular by Ray Charles.
“Pink” was written by Glen Ballard, Richard Supa and Steven Tyler.
Animals
Cheap Trick
“Immortality” was written by the Bee Gees (Barry Gibb, Robin Gibb, Maurice Gibb) and performed with the Bee Gees providing backing vocals.
“You’ve Really Got a Hold on Me” was written by Smokey Robinson.
“You’re So Vain” was written by Carly Simon. “You’re So Vain” has also been covered by Liza Minnelli and Faster Pussycat
Partridge Family
Righteous Brothers
Grateful Dead
“Long, Long Time” was written by Gary White.
Jimmy Webb wrote “By the Time I Get to Phoenix” and “Wichita Lineman” as noted by Ronny Hoff in the comments.
“You’re No Good” was a rock version of the R&B song written by Clint Ballard Jr.
“Call me the Breeze” was written by JJ Cale.
“Sweet Georgia Brown” was a jazz standard.
“Rock Me Baby” was written by blues legend B. B. King.
“Bring It on Home to Me” was written by Sam Cooke.
“Please Mr. Postman” was written by Robert Bateman, Georgia Dobbins, William Garrett, Freddie Gorman and Brian Holland. The song was a hit for the Marvelettes.
by Michael R. Burch
“House of the Rising Sun” was a traditional folk/blues song.
“Everybody’s a Masterpiece” was written by George S. Clinton and Richard Reicheg.
Johnny Cash
“Black Magic Woman” was written by Peter Green, the lead guitarist for Fleetwood Mac.
Most bands have done cover songs, but these famous bands covered more than most: Three Dog Night (never wrote any of their biggest hits), Deep Purple (their first five singles were covers), the world’s most successful cover band, the Beatles (21 of their first 46 recorded tracks were cover songs), the Rolling Stones and Led Zeppelin.
“Never,” “All Eyes,” “There’s the Girl,” “Tall. Dark, Handsome Stranger,” and “I Love You” were written
"Blue Bayou" was written by Roy Orbison and Joe Melson and originally performed by Roy Orbison.
Glen Campbell
"Liar" was written by Russ Ballard of Argent.
“Woodstock” was written by Joni Mitchell.
Nicky Chinn and Mike Chapman
“Already Gone” was written by Jack Tempchin and Robb Strandlund.
DEEP PURPLE
“(I Never Promised You a) Rose Garden” was written by Joe South, who was suggested in the comments by Chuck B. To show what a small world it is, when Lynn Anderson appeared on the Johnny Carson show, he asked her the name of a young country artist to keep an eye on. Lynn named Beth Harris, who is now my wife, Beth Harris Burch. Beth moved to Nashville and cut an album, but her manager ripped her off and she decided to retire and become a full-time mom to our son Jeremy.
Sha Na Na was ever and always a cover band!
“Tell Him” was written by David Foster and performed as a duet with Barbara Streisand.
There are also great songs penned by songwriting teams like Burt Bacharach and Hal David, the Bee Gees, George and Ira Gershwin, Holland-Dozier-Holland, Mick Jagger and Keith Richards, Sir Elton John and Bernie Taupin, Carole King and Gerry Goffin, John Lennon and Sir Paul McCartney, and Barry Mann and Cynthia Weil.
Santana
“Eli’s Coming” was written by Laura Nyro.
Marilyn Manson
“Different Drum” was written by Michael Nesmith of the Monkees and it became her first hit.
"Babe I'm Gonna Leave You" was written by Anne Bredon and originally recorded by Joan Baez.
“Heat Wave” was written by the Holland-Dozier-Holland songwriting team.
“Someone to Watch Over Me” was written by George Gershwin and Ira Gershwin.
“I Wanna Be Your Man” was written by Lennon/McCartney.
Manfred Mann
“Hush” was written by Joe South and originally performed by Billy Joe Royal. “Hush” was Deep Purple’s first single in 1968 and reached #4 in the USA. It was the band’s highest-charting single, along with “Smoke on the Water.”
Lynn Anderson
Deep Purple started out wanting to be a "Vanilla Fudge clone" according to Ritchie Blackmore.
“I Don’t Want to Miss a Thing” was written by veteran songwriter Diane Warren.
Aerosmith
"Try a Little Tenderness" was written by Jimmy Campbell, Reg Connelly, and Harry M. Woods; it had previously been performed by Bing Crosby, Frank Sinatra and Otis Redding (with an arrangement by Isaac Hayes and backed by Booker T. and the M.G.’s). Three Dog Night used the Isaac Hayes arrangement for its cover of the song.
“Heartbreak Hotel,” his first #1 hit, was written by Mae Boren Axton and Tommy Durden.
The Carpenters
Yes
“Nicky Chinn and Mike Chapman belong here. They wrote songs for a looong list of top names back in the 70s including New World, Sweet, Gary Glitter, Mud, Racey, Suzi Quatro and Smokie. They were instrumental in bringing many bands and solo musicians onto the charts, including Patti Smith and Lita Ford, and they provided number one hits in the US for Toni Basil, Nick Gilder and Pat Benatar.” — Bogdan Kadziola in the comments
Carole King is one of the world’s best and most prolific songwriters.
Carole King
Aretha Franklin
Linda Ronstadt
“Doh Wah Diddy Diddy” was written by Jeff Barry and Ellie Greenwich and originally recorded by The Exciters.
THREE DOG NIGHT
Shirelles
“When Will I Be Loved” was a country-rock version of a song written by Phil Everly of the Everly Brothers. It became Ronstadt’s first #1 song on the country charts.
#MUSIC #ROCK #MRBMUSIC #MRBROCK
Please note that I am not “condemning” anyone for recording songs they didn’t write, as someone suggested in previous comments. I am simply answering a question that I find interesting. Some of the best songs ever recorded were covers, including the magnificent “Without You” by Harry Nilsson (originally written and recorded by Badfinger) and any number of covers by Elvis, Whitney, Celine, et al.
Judy Collins
“I’m Gonna Love You Too” was written by Buddy Holly.
“Twistin’ the Night Away” was written by Sam Cooke.
“Hurt” was written by Trent Reznor of Nine Inch Nails.
J.D. Souther either wrote or co-wrote a number of Eagles’ hits, including “Heartache Tonight,” “Victim of Love,” “New Kid in Town,” “How Long (Has This Been Going On)” and “Best of My Love.”
“Baby It’s You” was written by Burt Bacharach, Barney Williams and Mack David.
Billy Joe Royal
“I Drove All Night” was a remarkable song, being the last hit single for Roy Orbison and Cyndi Lauper, and the last number one single for Celine Dion.
“Long Tall Sally” was written by Little Richard, Robert "Bumps" Blackwell and Enotris Johnson.
“Hound Dog” was written by Jerry Leiber and Mike Stoller and recorded in 1952 by Big Mama Thornton.
“Ooh Baby Baby” was written by Smokey Robinson and Pete Moore, and originally performed by Smokey Robinson and the Miracles.
HONORABLE MENTION: Alien Ant Farm, Big Bang, Tony Bennett, Bowling for Soup, BTS, Captain & Tennille, Cher, Patsy Cline, Nat King Cole, Ella Fitzgerald, Connie Francis, iKON, KISS, Manfred Mann and The Earth Band, Dean Martin, Johnny Mathis, Ricky Martin, Monsta X, Patti Page, Rascal Flatts, Ratt, Sha Na Na, Stray Kids, Seventeen, Barbra Streisand
Milli Vanilli (pictured above) gets a dishonorable mention for not actually singing the songs they covered!
“Ring of Fire” was written by June Carter. Ironically, in Johnny Cash’s biggest hit, “I Walk the Line,” he promised to always be faithful to his wife. But his second-biggest hit, “Ring of Fire,” was written by his mistress at the time, who later became June Carter Cash.
“Peaceful Easy Feeling” was written by Jack Tempchin.
“Five Bridges” was a cover of a song by The Nice.
“Early Yes one-upped Vanilla Fudge with long covers of I See You (6:47), Every Little Thing (5:47), Something’s Coming (7:09), No Opportunity Necessary (4:45), Everydays (6:05), and America (10:30).” — Don Campbell in the comments.
“A Love So Beautiful” was written by Roy Orbison.
“Not Fade Away” was written by Buddy Holly. It was the first song the Stones performed on The Mike Douglas Show in the US in 1964.
The Blues Brothers were a cover band comprised of SNL stars John Belushi and Dan Aykroyd.
“Don’t Know Much” by Linda Ronstadt and Aaron Neville was written by Barry Mann and Cynthia Weil.
“Dude (Looks Like A Lady)” was written by professional songwriter Desmond Child in collaboration with Joe Perry and Steven Tyler.
“River Deep, Mountain High” was the band’s third single, a cover of an Ike & Tina Turner classic written by Phil Spector, Ellie Greenwich and Jeff Barry.
“Lucille” was a cover of a Little Richard song.
“Dizzy Miss Lizzie,” “Bad Boy” and “Slow Down” were written by Larry Williams.
“We Gotta Get Out of This Place” was written by Barry Mann and Cynthia Weil and mentioned by John Aughinbaugh in the comments.
“Not Fade Away,” “Oh Boy” and “Rave On” were originally performed by Buddy Holly and his band the Crickets. “Oh! Boy” and “Rave On” were both written by Sonny West and Bill Tilghman.
Home Free is an a cappella cover band.
“Like a Rolling Stone” was written by Bob Dylan and had the perfect title for the band.
Grand Funk Railroad
Guns ’N’ Roses
“Poor Poor Pitiful Me” was written by Warren Zevon.
Michael Bolton
“Cum On Feel The Noize” was written by Slade members Noddy Holder and Jim Lea.
Heart
AC/DC
“Because You Loved Me” was written by Diane Warren.
“You Belong to Me” was written by Carly Simon. “You Belong to Me” has also been covered by Chaka Khan (feat. Michael McDonald) and Jennifer Lopez.
Paul Williams wrote three hit songs for The Carpenters and three more for Three Dog Night.
Quiet Riot
“Jersey Girl” was written by Tom Waits.
“The Loco-Motion” was written by Carole King and Gerry Goffin.
Carly Simon
Joan Jett and the Blackhearts
Eric Clapton
“Spanish Harlem,” one of my all-time favorite songs, was written and first performed by Ben E. King. Aretha changed the lyrics slightly to make the girl a bit darker, if I remember correctly.
“The Tide Is High” was written by John Holt and performed by his Jamaican group The Paragons.
“I Drove All Night” was written by Tom Kelly and Billy Steinberg in the style of Roy Orbison, and Orbison recorded the song in 1987 but did not release it before his death the following year. Orbison’s demo was later engineered and produced by Jeff Lynne of ELO fame and it became a hit in 1992, reaching number seven in the UK and earning a Grammy in the US. In the meantime “I Drove All Night” was covered in 1989 by Cyndi Lauper and it became her last top ten single, reaching number six on the Billboard Hot 100. Celine Dion released her cover in 2003 and it reached number one in Canada, Belgium and Sweden, and number two on the US Dance Club chart. It would be her last number one single.
“Words of Love,” “That’ll Be The Day,” “Peggy Sue” and “Crying, Waiting, Hoping” were written by Buddy Holly and originally performed by Holly with his band the Crickets. The Beatles were originally the Beetles, an obvious tip of the cap to the Crickets. John Lennon and Paul McCartney credited Holly with inspiring them to write songs.
Elvis Presley
Celine Dion
"Out in the Country" was written by Paul Williams and Roger Nichols.
Monkees
Some of the best songs and biggest hits below were written by professional songwriters like Paul Anka, Chuck Berry, Jackson Browne, Leonard Cohen, Sam Cooke, Neil Diamond, Bob Dylan, Buddy Holly, Holly Knight, Cole Porter, Little Richard, Joni Mitchell, Willie Nelson, Roy Orbison, Smokey Robinson, Neil Sedaka, Pete Seeger, Paul Simon, J.D. Souther, Jim Vallance, Tom Waits, Diane Warren, Hank Williams Sr., Brian Wilson and Neil Young.
In the comments Rick Deguchi mentioned that many of Elvis’s biggest hits were covers, including “Hound Dog,” “It’s Now or Never,” “Blue Suede Shoes,” “Suspicious Minds,” “All Shook Up,” “Love Me Tender” and “Are You Lonesome Tonight.”
Sam Cooke had his start as the lead singer of the Soul Stirrers, recording gospel songs like “Peace in the Valley.” Aretha Franklin also had her start in gospel and was influenced by Sam Cooke to pursue a career in mainstream popular music.
Crosby, Stills, Nash & Young
“Wonderful World” was written by Sam Cooke, Herb Alpert and Lou Adler. “Wonderful World” has also been covered by Herman’s Hermits, Otis Redding, Johnny Nash and the trio of Paul Simon, Art Garfunkel and James Taylor.
“Send In the Clowns” was written by Stephen Sondheim.
“This Is It” was written by Paul Anka with Michael Jackson. Paul Anka was suggested by T. Stephen Cornelius in the comments.
Three Dog Night may be the most successful major band that usually covered songs written by others, and theirs was an eclectic ensemble of songwriters.
“It Doesn’t Matter Anymore” was written by Paul Anka and originally performed by Buddy Holly and the Crickets.
“You’ve Lost That Lovin’ Feelin’” and “You’re My Soul and Inspiration” were written by Barry Mann and Cynthia Weil.
Sergei Rachmaninoff deserves a credit for “All By Myself.”
Blondie
As I go, I will reveal which two famous singers lied like dogs, thanks to their songwriters!
“Peasant Valley Sunday” was written by Carole King and Gerry Goffin.
“River Deep, Mountain High” was written by Phil Spector, Jeff Barry and Ellie Greenwich.
Counting Crows
“Will You Love Me Tomorrow” was written by Carole King and Gerry Goffin.
“Because the Night” was written by Bruce Springsteen.
“Think Twice” was co-written by Peter Sinfield of King Crimson and Bucks Fizz producer Andy Hill.
"The Flame" was a power ballad written by British songwriters Bob Mitchell and Nick Graham.
ABBA
Milli Vanilli
In the comments Rick Deguchi mentioned that most of Linda Ronstadt’s hits were covers.
“Not Fade Away” was written by Buddy Holly and became one of the Grateful Dead’s standards.
“Black and White” was a 1954 folk song written by David I. Arkin (the father of actor Alan Arkin) and Earl Robinson.
“Roll Over Beethoven,”“Rock & Roll Music” and “Sweet Little Sixteen” were written by Chuck Berry, the Shakespeare of early rock ’n’ roll.
“Mama Mia,” “Dancing Queen,” “Fernando,” “SOS,” “Knowing Me, Knowing You”, “Ring Ring,” “Honey Honey,” “I Do, I Do, I Do, I Do, I Do,” “The Name of the Game” and “Waterloo” were either written primarily by Stig Anderson or he contributed and was credited as a songwriter. Anderson contributed so much to the group that he’s been called “the fifth member of ABBA.” It should be noted that other members of the band also contributed to the songs in question.
“Crazy” was written by Desmond Child with Joe Perry and Steven Tyler.
“It’s So Easy” and “That’ll Be the Day” were written by Buddy Holly, who performed the songs with his band the Crickets.
“It’s All Coming Back to Me Now” was written by Jim Steinman, who is most famous for his collaborations with Meatloaf.
Lynyrd Skynyrd
“Love is a Rose” was written by Neil Young.
“I Really Want to Know You” was written by Barry Mann and Cynthia Weil.
“The Lemon Song” was directly lifted from “Killing Floor” by Chester Burnett aka Howling Wolf. Although Led Zep's version did insert Robert Plant's not-so-subtle double entendre involving the dispersal of lemon juice. — James Raines in the comments
Eagles
“I Hate Myself For Loving You” was written by professional songwriter Desmond Child with Joan Jett
The Jimi Hendrix Experience
“I Can’t Help It (If I’m Still in Love with You”) was written by country legend Hank Williams Sr.
“The Show Must Go On” was written by Leo Sayer.
Otis Redding
“Proud Mary” was written by John Fogerty of Creedence Clearwater Revival at the time.
“Suzanne” was written by Leonard Cohen.
“War Machine” was written by professional songwriter Jim Vallance.
“Go Away Little Girl” was written by Carole King and Gerry Goffin.
Pentatonix is an a cappella cover band.
Led Zeppelin was mentioned in previous comments by Robert Shirley as “one of the world’s biggest bands and biggest ‘borrowers.’ Their covers and borrowing have been greatly chronicled.”
“Black Night,” the band’s first original single, was not all that original. According to Roger Glover, it “was nicked from the bass line in Ricky Nelson's ‘Summertime’ and then proceeds to play the bassline riff on his grand piano.”
“Daydream Believer” was written by John Stuart.
"Sure as I'm Sitting Here" was written by John Hiatt.
“She’s a Lady” remains Tom Jones’s biggest hit in the United States.
“Private Dancer” was written by Mark Knopfler of Dire Straits.
“I Write the Songs” was actually written by Bruce Johnston of the Beach Boys! This dichotomy was mentioned in the comments by Nigyl Nissan.
I will furthermore reveal the remarkable song that became the last hit single for both Roy Orbison and Cyndi Lauper, and the last number one single for Celine Dion. Can you guess the title? If so, can you guess who wrote in, and why?
“Somewhere Out There” by Linda Ronstadt and James Ingram was written by Barry Mann and Cynthia Weil.
“Joy To The World” and “Never Been to Spain” were written by Hoyt Axton.
“The Sound of Silence” was written by Paul Simon and first performed by Simon and Garfunkel.
The band also borrowed from Bach, Rossini, Strauss and Tchaikovsky.
“What About Love” was written by Brian Allen, Sheron Alton and Jim Vallance.
“Tumbling Dice” was written by Mick Jagger and Keith Richards.
“Love Is a Battlefield” was written by Holly Knight and Mike Chapman.
“Johnny B. Goode” and “Little Queenie” were written by Chuck Berry.
Kiss
“A Change Is Gonna Come,” “Chain Gang,” “Cupid” and “Shake” were written by Sam Cooke.
Three Dog Night, circa 1972. Back L–R: Joe Schermie, Floyd Sneed, Michael Allsup and Jimmy Greenspoon. Front L–R: Danny Hutton, Cory Wells and Chuck Negron.
“You Give Love A Bad Name,” “Livin’ On A Prayer,” “Bad Medicine,” “I’d Die for You” and “Keep The Faith” were written by professional songwriter Desmond Child in collaboration with Jon Bon Jovi and Richie Sambora
Barry Manilow
Byrds
THE ROLLING STONES
Eric Carmen
“Chains” was written by Gerry Goffin and Carole King.
Chiffons
Three Dog Night is a rarity among great rock bands in that it never, to my knowledge, wrote one of its greatest hits…
THE BEATLES
“Big Yellow Taxi” was written by Joni Mitchell.
Carly Simon
“Difficult To Cure” was an uptempo guitar-based reworking of Beethoven's “Ode To Joy.”
“You Send Me” and “Good Times” were written by Sam Cooke.
“Turn, Turn, Turn” was written by Pete Seeger in 1959 and was based on the Bible, specifically the third chapter of Ecclesiastes.
“Hungry” and “Kicks” were written by Barry Mann and Cynthia Weil.
Procol Harum
“Don’t Bring Me Down” was written by Carole King and Gerry Goffin.
UB40
“Pieces of April” and “Til’ the World Ends” were written by Dave Loggins.
“After Midnight” and “Cocaine” were written by JJ Cale.
“T for Texas” was written by Jimmy Rodgers.
Elvis was mentioned by T. Stephen Cornelius in the comments as an artist who never wrote his songs, or at least not any famous ones of which I am aware that he wrote on his own.
Drifters
“Blinded by the Light” was written by Bruce Springsteen.
“My Back Pages” was written by Bob Dylan and suggested by Paul Smith in the comments.
“Hallelujah” was written by the famous songwriting team of Roger Greenway and Roger Cook. It was Deep Purple’s fifth consecutive single to be a cover song.
“I Get a Kick Out of You” was written by Cole Porter.
“Days of Future Passed” was a cover of a Moody Blues song.
Michael Jackson
“Kansas City/Hey-Hey-Hey-Hey!” was written by Jerry Leiber and Mike Stoller. It was originally performed by Little Willie Littlefield.
The songs above were suggested by Geoff Morton in the comments.
“Twist and Shout” was written by Phil Medley and Bert Russell. It was a hit for the Top Notes and the Isley Brothers.
“Shout” was also a hit for the Isley Brothers.
“Baby Please Don’t Go” was written by legendary blues guitarist Big Joe Williams.
"Easy to Be Hard" was written by Galt MacDermot, James Rado, and Gerome Ragni for the “Hair” musical.
“Paint it Black” was written by Mick Jagger and Keith Richard and originally performed by the Rolling Stones.
Their album Girl You Know It’s True went 6x platinum and they not only didn’t write the songs, they didn’t sing a single note!
LED ZEPPELIN
“Rag Doll” was written by Holly Knight, Richard Vallance, Joe Perry and Steven Tyler.
“A Whiter Shade of Pale” was credited to singer Gary Brooker, lyricist Keith Reid and organist Matthew Fisher but the melody is unmistakably Bach’s “Air on the G-String”!
“Mama Told Me Not to Come” was written by Randy Newman.
“Lighting Strikes” was written by Richard Supa.
"I Love Rock 'n' Roll" was written by Alan Merrill and Jake Hooker and first recorded by the Arrows, a British rock band, in 1975. This was suggested in the comments by Geoff Morton.
“Play Something Sweet (Brickyard Blues)” was written by Allen Toussaint.
Tina Turner
“One Fine Day” was written by Carole King and Gerry Goffin.
On an amusing note (pardon the pun), Barry Manilow did write songs but didn’t write “I Write the Songs,” which was written by Bruce Johnson of the Beach Boys. Forgiving him for writing that song and giving it to Barry Manilow would test the compassion and grace of a saint.
“Ol’ 55” was written by Tom Waits.