No other way to listen to music. Great post, to which I will add --. Covered in this thread already: In the Aeroplane over the Sea - Neutral Milk Hotel
Illmatic - Nas
Graceland - Paul Simon
Paul's Boutique - Beastie Boys
Abbey Road - The Beatles
Pet Sounds - The Beach Boys
The Wall - Pink Floyd
Oh Inverted World - The Shins (good call thenewgreen)
Lift Yr. Skinny Fists Like Antennas to Heaven - Godspeed You! Black Emperor Woefully ignored: Merriweather Post Pavilion - Animal Collective
Sgt. Pepper's Lonely Hearts Club Band - The Beatles
Selected Ambient Works 85-92 - Aphex Twin
Funeral - Arcade Fire
Blood on the Tracks - Bob Dylan
For Emma, Forever Ago - Bon Iver
Transatlanticism - Death Cab for Cutie
Good News for People Who Love Bad News - Modest Mouse
Evil Urges - My Morning Jacket
Modal Soul - Nujabes
Ten - Pearl Jam
Kid A - Radiohead
Illinoise - Sufjan Stevens
Is This It - The Strokes And so many dozens of others.
A formidable list. I can't believe I didn't put Illinois on my list or Funeral. I could go on...