A few at the mo..
Electioneering -Radiohead
A Distorted Reality Is Now A Necessity To Be Free
-Elliott Smith
Animal Farm -The Kinks
For No One- The Beatles
Waltz #2- Elliott Smith
Let's Not **** Ourselves- Bright Eyes
Coconut Skins -Damien Rice
Pink Moon -Nick Drake

Erm, this is impossibly hard, but these are a few of some of my favorites:

Ugly Valentine - Carissa's Wierd
Nothing And Nowhere - Emily Haines and the Soft Skeleton
My Dream Girl Don't Exist - Neutral Milk Hotel
At the Dept. of Forgotten Songs - Jens Lekman
Busby Berkeley Dreams - The Magnetic Fields
The Childcather - Patrick Wolf
Ageless Beauty - Stars
Rose Parade - Elliott Smith
Motion Picture Soundtrack - Radiohead

My "favorites" change constantly, but a few I consistantly have liked are:
Cult of Personality - Living Colour
Aqueous Transmission - Incubus
Nessun Dorma - Three Tenors (I think it was actually Placido Domingo singing)
For Those About to Rock - AC/DC

I know there are more that aren't coming to me right this very second. I'll be back!

Right, narrowed it down to the massive ultra powerful favs, missing out The Smiths.

Bad Brains - Sailin' On
Sonic Youth - Teenage Riot
Morrissey - Speedway
Eels - P.S You Rock My World
Tom Waits - Goin' Out West

Wonderwall - Oasis

all by secondhand serenade =)

S club - dont stop never give up
Aqua - Barbie girl

Seal - Don't Cry
Jim Brickman - Serinade
David Benoit - Club Havana
Jessie J - Tequila Moon
Gail Jhonson - Pearls
Nils - Catnap

The Turtles - Happy Together
Lifehouse - Sick Cycle Carousel
High - James Blunt
Gloria ***nor - I Will Survive
The Commodores - Brick House
Gary Jules - Mad World