You can see my attempt on PulpWiki:
Released stuff: http://www.pulpwiki.net/Jarvis/JarvisSongList
Live appearances: http://www.pulpwiki.net/Jarvis/MiscellaneousLive

A Cheat (with Richard Hawley) (vocals)
A Drop of Nelson's Blood (with Richard Hawley, Steve Mackey and Ross Orton) (vocals)
AF607105 (Charlotte Gainsbourg) (wrote lyrics)
All Time High (with Steve Mackey, Mark Webber, David Arnold and Les Arnold) (vocals, guitar, keyboards, programming)
Avalanche (Terminal Velocity) (Boys Noize & Erol Alkan) (vocals)
Baby's Coming Back to Me (Nancy Sinatra) (wrote lyrics)
Basque Country (The Lovers) (wrote lyrics)
Beauty Mark (Charlotte Gainsbourg) (co-wrote lyrics)
Ciao! (Lush) (duet with Miki Berenyi)
Do the Hippogriff (The Weird Sisters) (co-write and provides vocals)
Don't Let Him Waste Your Time (Nancy Sinatra) (wrote lyrics)
Drive Safely Darlin' (The All Seeing I) (wrote lyrics and provides vocals)
Everybody Loves the Underdog (various artists) (wrote lyrics and provides vocals)
Everything I Cannot See (Charlotte Gainsbourg) (wrote lyrics)
Fantastic Mr. Fox AKA Petey's Song
1st Man in Space (The All Seeing I) (wrote lyrics)
5:55 (Charlotte Gainsbourg) (co-wrote lyrics)
F.O.H. (Infant Sorrow) (wrote with Chilly Gonzales)
Fred de Fred (The Lovers) (wrote lyrics)
Happy Birthday Nicola (The All Seeing I) (wrote lyrics)
I Can't Forget (various artists) (vocals)
I Just Came to Tell You That I'm Going (with Kid Loco) (vocals)
I Picked a Flower (The Pastels) (co-wrote and provides vocals)
Into U (Richard X) (wrote lyrics and provides vocals)
Jamais (Charlotte Gainsbourg) (wrote lyrics)
Just Say Yes (Infant Sorrow) (wrote with Jason Buckle, Tim McCall and Ross Orton)
La Dégustation (The Lovers) (wrote lyrics)
Little Monsters (Charlotte Gainsbourg) (wrote lyrics)
Magic Works (The Weird Sisters) (co-write and provides vocals)
Morning Song (Charlotte Gainsbourg) (co-wrote lyrics)
Night-Time Intermission (Charlotte Gainsbourg) (co-wrote lyrics)
One Hell of a Party (Air) (wrote lyrics and provides vocals)
Petey's Song (co-wrote and performed)
Set the Controls for the Heart of the Pelvis (Barry Adamson) (co-wrote lyrics and provides vocals)
Set Yourself on Fire (Charlotte Gainsbourg) (wrote lyrics)
Sliding Through Life on Charm (Marianne Faithfull) (wrote lyrics and played keyboards)
Somewhere (A Place For Us) (Marianne Faithfull) (duet with Marianne Faithfull)
Somewhere Between Waking and Sleeping (Charlotte Gainsbourg) (wrote lyrics)
Songs That We Sing (Charlotte Gainsbourg) (co-wrote lyrics)
Stars on Sunday (The All Seeing I) (wrote lyrics)
Synchronize (Discodeine) (provides vocals and co-wrote)
The Duelist (Air) (wrote lyrics and provides vocals with Charlotte Gainsbourg)
The Lion and Albert (solo) (read poem)
The Operation (Charlotte Gainsbourg) (wrote lyrics)
Thinking About the New Millennium Just Makes Me Wanna Come (solo) (wrote and performed)
This Is the Night (The Weird Sisters) (co-write and provides vocals)
This Is Where I Came In (Alpha) (vocals)
Walk Like a Panther (The All Seeing I) (wrote lyrics)

A couple off the top of my head to get this started: "I picked a flower" - nu forest, aka the pastels "Ciao" - lush "This is where I came in" - alpha "Set the controls for the heart of the pelvis" - Barry adamson "Drive safely darlin" - allseeing i "Into U" - Richard x "Do the hippogriff", "magic works", & "This is the Night" from Harry Potter "Petey's Song" - Fantastic Mr. Fox "One Hell of a Party" - Air "i just came to tell you that I am leaving" - Gainsbourg thingy "the cheat" - lee hazelwood thingy