These are all guesses, and I'm sure of about 90% of this. Please correct me if you have evidence proving otherwise.

Arnold Layne - Syd Barett
Candy and a Current Bun - Syd
See Emily Play - Syd, Rick Wright
Astronomy Domine - Syd, Rick, Roger Waters
Lucifer Sam - Syd
Matilda Mother - Syd, Rick
Flaming - Syd, Rick
Pow R. Toc H. - Syd, Roger, Rick
Take Up Thy Stethoscope and Walk - Roger
The Gnome - Syd, Rick
Chapter 24 - Syd, Rick
Scarecrow - Syd
Bike - Syd
Apples and Oranges - Syd, Rick
Paintbox - Rick
It Would Be So Nice - Rick, Syd, Dave Gilmour
Julia Dream - Dave
Let There Be More Light - Rick, Dave, Syd
Remember a Day - Rick
Set The Controls for the Heart of the Sun - Roger
Corporal Clegg - Rick, Roger, Dave, Syd
A Saucerful of Secrets - Dave, Rick
See Saw - Rick
Jugband Blue - Syd
Point Me at the Sky - Dave
Careful With That Axe Eugene - Roger
Cirrus Minor - Dave
Nile Song - Dave
Crying Song - Roger, Dave
Green is the Colour - Dave
Cymbaline - Dave
Ibiza Bar - Dave, Rick
Grantchester Meadows - Roger
Several Species of Small Animals Gathered Together in a Cave and Grooving with a Pict - Roger
The Narrow Way Part 3 - Dave
Atom Heart Mother - Nick Mason
Embryo - Dave, Rick
If - Roger
Summer '68 - Rick
Fat Old Sun - Dave
Alan's Psychedelic Breakfast - Nick
Biding My Time - Roger
One of these Days - Nick
A Pillow of Winds - Dave
Fearless - Dave
San Tropez - Roger
Echoes - Dave, Rick
Burning Bridges - Dave, Rick
The Gold ... It's in the - Dave
Wots ... Uh the Deal - Dave
Childhood's End - Dave
Free Four - Roger
Stay - Rick
Breathe - Dave, Rick
Time - Dave, Rick, soul singers
The Great Gig in the Sky - Clare Torry
Money - Dave
Us and Them - Dave, Rick
Brain Damage - Roger, Dave, soul singers
Eclypse - Roger, Dave, Clare
Shine On You Crazy Diamond - Roger, Dave
Welcome to the Machine - Dave, Rick
Have a Cigar - Roy Harper
Wish You Were Here - Dave, Roger
Pigs on the Wing - Roger
Dogs - Dave, Roger
Pigs (three different ones) - Roger, Dave
Sheep - Roger
In the Flesh? - Roger
The Thin Ice - Dave, Roger
Another Brick in the Wall (Part One) - Roger
The Happiest Days of Our Lives - Roger
Another Brick in the Wall (Part Two) - Dave, Roger, students
Mother - Dave, Roger
Goodbye Blue Sky - Dave
Empty Spaces - Roger
Young Lust - Dave
One of My Turns - Roger
Don't Leave Me Now - Roger
Another Brick in the Wall (Part Three) - Roger
Goodbye Cruel World - Roger
Hey You - Dave, Roger
Is There Anybody Out There? - Roger
Nobody Home - Roger
Vera - Roger
Bring the Boys Back Home - Roger
Comfortably Numb - Dave, Roger
The Show Must Go On - The Beach Boys, Dave
In the Flesh - Roger, The Beach Boys
Run Like Hell - Roger
Waiting for the Worms - Roger, The Beach Boys
Stop - Roger
The Trial - Roger
Outside the Wall - Roger
The Post War Dream - Roger
Your Possible Pasts - Roger
One of the Few - Roger
The Hero's Return - Roger
The Gunners Dream - Roger
Paranoid Eyes - Roger
Get Your Filthy Hands Off My Desert - Roger
The Fletcher Memorial Home - Roger
Southampton Dock - Roger
The Final Cut - Roger
Not Now John - Dave, Roger, soul singers
Two Suns in the Sunset - Roger
Learning to Fly - Dave
Dogs of War
One Slip - Dave, Rick
On the Turning Away - Dave, Rick, Soul Singers
Yet Another Movie - Dave, Rick, Soul Singers
A New Machine - Dave
Sorrow - Dave, Rick
What do you Want From Me - Dave, Rick, Soul Singers
Poles Apart - Dave
A Great Day for Freedom - Dave, Soul Singers
Wearing the Inside Out - Rick, Soul Singers
Take it Back - Dave, Rick, Soul Singers
Coming Back to Life - Dave
Keep Talking - Dave, Soul Singers
Lost for Words - Dave
High Hopes - Dave, Rick, Soul Singers