Here is the list of them (there is a lot):
"A Shot of Rhythm and Blues"
"A Taste of Honey"
"Anna (Go to Him)"
"Bad Boy"
"Bésame Mucho"
"Boys"
"Carol"
"Chains"
"Clarabella"
"Crying, Waiting, Hoping"
"Devil in Her Heart"
"Dizzy Miss Lizzy"
"Don't Ever Change"
"Everybody's Trying to Be My Baby"
"Glad All Over"
"Hallelujah, I Love Her So"
"Honey Don't"
"How Do You Do It?"
"I Forgot to Remember to Forget"
"I Got a Woman"
"I Got to Find My Baby"
"I Just Don't Understand"
"I'm Gonna Sit Right Down and Cry (Over You)"
"I'm Talking About You"
"Johnny B. Goode"
"Kansas City/Hey, Hey, Hey, Hey"
"Keep Your Hands Off My Baby"
"Leave My Kitten Alone"
"Lend Me Your Comb"
"Lonesome Tears in My Eyes"
"Love Me Tender"
"Loving You"
"Lucille"
"Mailman, Bring Me No More Blues"
"Memphis, Tennessee"
"Money (That's What I Want)"
"Mr. Moonlight"
"Moonlight Bay"
"Nothin' Shakin'"
"Ooh! My Soul"
"Please Mr. Postman"
"Rip It Up/"Shake, Rattle, and Roll"/"Blue Suede Shoes""
"Rock and Roll Music"
"Roll Over Beethoven"
"Searchin'"
"September in the Rain"
"Sheik of Araby"
"Shout"
"So How Come (No One Loves Me)"
"Soldier of Love (Lay Down Your Arms)"
"Some Other Guy"
"Sure to Fall (In Love with You)"
"Sweet Little Sixteen"
"Take Good Care of My Baby"
"That'll Be the Day"
"That's All Right (Mama)"
"The Hippy Hippy Shake"
"The Honeymoon Song"
"The Sheik of Araby"
"Three Cool Cats"
"Till There Was You"
"To Know Her is to Love Her"
"Too Much Monkey Business"
"Twist and Shout"
"Words of Love"
"You Really Got a Hold on Me"
"Young Blood"
"Act Naturally"
"Maggie Mae"
"Ain't She Sweet"
"Slow Down"
"Long Tall Sally"
"Baby It's You"
"Matchbox"
https://en.wikipedia.org/wiki/List_of_songs_recorded_by_the_Beatles