I second First Breath After Coma. The part where the drums kick in is the most beautiful part of music ever.
These are good too:
Jewel - Foolish Games
Cat Power - Moonshiner, No Sense, and You May Know Him
Joanna Newsom - Swansea and "En Gallop"
mewithoutYou - Bullet to Binary
Norma Jean ft. Aaron Wiess - Memphis Will Be Laid To Waste
At the Drive-in - Rascuache
Yeah Yeah Yeahs - Maps
Xiu Xiu - Apistat Commander, Hives Hives, and their Bauhaus cover
Radiohead - Planet Telax
Parenthetical Girls - The Weight She Fell Under
Death Cab for Cutie - Expo '86
CoCo Rosie - Terrible Angels
Animal Collective - Winter's Love