Ok, here we go:
BLUENeutral Milk Hotel - Aeroplane
Pixies - Doolittle
Mountain Goats - All Hail West Texas
Radiohead - Kid A
Sigur Ros - ()
Husker Du - Zen Arcade
Slint -Spiderland
Owls - Owls
YELLOWSonic Youth - Daydream Nation
Blackmoth Super Rainbow - Dandelion Gun
Bedhead - Transaction De Novo
Radiohead - OK Computer
Sigur Ros - Takk
The Decemberists - Crane Wife
Television - Marquee Moon
Bob Dylan - Blood on the Tracks
GREENEitS - The Earth is not a Cold Dead Place
Joy Division - Unknown Pleasure
Wilco - Yankee Hotel Foxtrot
Belle and Sebastian - If You're Feeling Sinister
Bob Dylan - Highway 61 Revisited
The Unicorns - Who Will Cut Our Hair When We're Gone?
Okkervil River - Black Sheep Boy
MONO - You Are There
ORANGETed Leo/RX - Tyranny of Distance
Broken Social Scene - You Forgot it in People
GY!BE - Lift Your Skinny Fists...
Pixies - Surfer Rosa
Sigur Ros - Agaetis Byrjun
The Beach Boys - Pet Sounds
The Clash - London Calling
Modest Mouse - The Lonesome Crowded West
One of the best albums on here, to me (although most of them are great), is You Are There. Seems mean to pit it against Abbey Road. MONO doesn't stand a chance

These were mostly easy decisions for me though. Choosing between Wilco and Mogwai was tough, as was choosing between Okkervil River and the Wrens but for the most part this round was an easy one.