"Who Wrote That?"
Being that the Beatles were a four-piece band, and eventually ALL of the members wrote the songs, it can be confusing for some listeners to know which Beatle's songwriting is preferred.  I have compiled a list to the best of my knowledge of who wrote what song, but there are a few disputes, which I'll note.  Also, if a song is not included, then it is not written by a Beatle, and you can find out who wrote that song by viewing the albums page, finding the album the song is on, view the track listing and see who wrote it.  Collaboration songs will be noted here as well, but only the ones that were a "true" collaboration. Most of the songs have input from more than one member at some point, but I'll list who the dominant writer was. 
John Lennon
Paul McCartney
Misery
Please Please Me
Do You Want to Know A Secret?
There's A Place
It Won't Be Long
All I've Got to Do
Little Child
Not A Second Time
A Hard Day's Night
I Should Have Known Better
If I Fell
I'm Happy Just to Dance With You
Tell Me Why
Any Time At All
I'll Cry Instead
When I Get Home
You Can't Do That
I'll Be Back
No Reply
I'm A Loser
I Don't Want to Spoil the Party
Help!
You've Got to Hide Your Love Away
You're Gonna Lose that Girl
Ticket to Ride
It's Only Love
Norwegian Wood
Nowhere Man
The Word
Girl
In My Life*
Wait
Run For Your Life
I'm Only Sleeping
She Said, She Said
And Your Bird Can Sing
Dr. Robert
Tomorrow Never Knows
Lucy in the Sky With Diamonds
Being for the Benefit of Mr. Kite
Good Morning, Good Morning
I Am the Walrus
Strawberry Fields Forever
All You Need is Love
Hey Bulldog
Dear Prudence
Glass Onion
Wild Honey Pie
The Continuing Story of Bungalow Bill
Happiness is a Warm Gun
I'm So Tired
Julia
Yer Blues
Everybody's Got Something to Hide....
Sexy Sadie
Revolution 1
Cry Baby Cry
Revolution 9
Goodnight
Dig A Pony
Across the Universe
One After 909
Come Together
I Want You (She's So Heavy)
Because
Sun King
Mean Mr. Mustard
Polythene Pam
I'll Get You
This Boy
I Call Your Name
I Feel Fine
Yes It Is
Day Tripper
Rain
Don't Let Me Down
The Ballad of John and Yoko





I Saw Her Standing There
Ask Me Why
Love Me Do
P.S. I Love You
All My Loving
Hold Me Tight
And I Love Her
Can't Buy Me Love
Things We Said Today
I'll Follow The Sun
Eight Days A Week
Every Little Thing
What You're Doing
The Night Before
Another Girl
Tell Me What You See
I've Just Seen A Face
Yesterday
Drive My Car
You Won't See Me
Michele
I'm Looking Through You
Eleanor Rigby
Here, There and Everywhere
Yellow Submarine
Good Day Sunshine
For No One
Got To Get You Into My Life
Sgt. Pepper's Lonely Hearts Club Band
Getting Better
Fixing A Hole
She's Leaving Home
When I'm 64
Lovely Rita
Sgt. Pepper (Reprise)
Magical Mystery Tour
Fool On the Hill
Your Mother Should Know
Hello Goodbye
Penny Lane
All Together Now
Back in the USSR
Ob-La-Di Ob-La-da
Martha My Dear
Blackbird
Rocky Raccoon
Why Don't We Do It In the Road?
I Will
Mother Nature's Son
Helter Skelter
Honey Pie
Let It Be
The Long and Winding Road
Get Back
Maxwell's Silver Hammer
Oh Darling!
You Never Give Me Your Money
She Came In Through the Bathroom Window
Golden Slumbers
Carry That Weight
The End
Her Majesty
She's A Woman
I'm Down
Paperback Writer
Lady Madonna
Hey Jude



Lennon-McCartney Collaborations
I Wanna Be Your Man
Baby's In Black
With A Little Help From My Friends
A Day In the Life
Birthday
Two Of Us
I've Got A Feeling
From Me To You
Thank You Girl
She Loves You
I Want to Hold Your Hand
We Can Work It Out
You Know My Name (Look Up the Number)
George Harrison
Don't Bother Me
I Need You
You Like Me Too Much
Think For Yourself
If I Needed Someone
Taxman
Love You Too
I Want to Tell You
Within You, Without You
Blue Jay Way
It's Only A Northern Song
It's All Too Much
While My Guitar Gently Weeps
Piggies
Long Long Long
Savoy Truffle
I Me Mine
For You Blue
Something
Here Comes the Sun
The Inner Light
Old Brown Shoe
Ringo Starr (Starkey)
What Goes On (Lennon-McCartney-Starkey)
Don't Pass Me By
Octopus's Garden
All
Flying
Maggie May (trad. arr. by all)