So far:

I Will Follow You Into the Dark - Death Cab For Cutie
Any Other World - Mika
Open Your Eyes - Snow Patrol
Wonderwall - Ryan Adams
World Spins Madly On - The Weepies
When You Were Young - The Killers
Set Fire to the Third Bar - Snow Patrol/Martha Wainwright
Starlight - Muse
Thousand Miles - Vanessa Carlton
Who Makes You Feel - Dido
Run - Snow Patrol
Tell Me Where It Hurts - Garbage
God Put a Smile Upon Your Face - Coldplay
Flying High - Jem
Untouched - The Veronicas
Chasing Cars - Snow Patrol

A few of these I might change...and I'm going to get the songs that others suggested. I'd include some Kate Nash bust most of her songs are about really dysfunctional relationships. ;^_^