Throughout the Beatles' active musical period, they covered a vast array of songs - some of which were just played live and others that were included on studio albums. Here is a list of all the songs (including their original artists) which the Beatles covered, recorded and included on their studio albums.
Please Please Me (1963)
"Anna (Go to Him)" (Arthur Alexander)
"Chains" (The Cookies)
"Boys" (The Shirelles)
"Baby it's you" (The Shirelles)
"A Taste of Honey" (Bobby Scott/Lenny Welch)
"Twist and Shout" (The Isley Brothers)
With The Beatles (1963)
"Till There Was You" (Barbara Cook)
"Please Mr. Postman" (The Marvelettes)
"Roll Over Beethoven" (Chuck Berry)
"You've Really Got a Hold on Me" (The Miracles)
"Devil in Her Heart" (The Donays)
"Money (That's What I Want)" (Barrett Strong)
Long Tall Sally EP (1964)
"Long Tall Sally" (Little Richard)
"Slow Down" (Larry Williams)
"Matchbox" (Carl Perkins)
Beatles for Sale (1964)
"Rock and Roll Music" (Chuck Berry)
"Mr Moonlight" (Dr Feelgood)
"Kansas City/Hey-Hey-Hey-Hey!" (Little Willie Littlefield/Little Richard)
"Words of Love" (Buddy Holly)
"Honey Don't" (Carl Perkins)
"Everybody's Trying to Be My Baby" (Carl Perkins)
Beatles VI (1965)
"Bad Boy" (Larry Williams)
Help (1965)
"Act Naturally" ( Buck Owens)
"Dizzy Miss Lizzy" (Larry Williams)
Let It Be (1970)
"Maggie Mae" (The Vipers Skiffle Group)
More songs that The Beatles covered were included on the compilation albums "Live at the BBC" and "Anthology 1" which were released in 1994 and 1995 respectively. Furthermore, all four Beatles continued to record and release cover songs, throughout their solo careers after the band itself disbanded.