Some great selections here, people! I'm a wee bit late with this impossible task, but here's my non-LAME (har har) attempt:
-Les Claypool's Fearless Flying Frog Brigade - Live Frogs 1 & 2 (1 contains an epic cover of Shine On You Crazy Diamond, and 2 contains a wonderfully executed Pink Floyd's Animals)
-Critters Buggin - Stampede
-Garage a Trois - Always Be Happy, But Stay Evil (or the May 18, 2011 show from Pittsburgh)
-The Pixies - Bossanova [MFSL]
-Tool - 10,000 Days (or Lateralus)
Honourable mentions:
-Art Blakey - Art Blakey!!!!! Jazz Messengers!!!!!
-Beck - Sea Change [MFSL]
-Boards of Canada - A Beautiful Place Out in the Country EP (or The Campfire Headphase)
-Floating Action - Desert Etiquette
-Bill Frisell - with Dave Holland & Elvin Jones, (or) Quartet, (or) Unspeakable, (or, countless live performances and other albums)
-Leo Kottke - My Father's Face
-Fela Kuti - Best of the Black President
-Pink Floyd - Is There Anybody Out There? [The Wall Live]
-Tom Petty & The Heartbreakers - The Live Anthology (5 disc version... all the Petty you'd ever need)
-Radiohead - anything after OK Computer
-Roger Waters - Amused to Death (either the CD or the new 24/192 would suffice)
-Neil Young - Live at Massey Hall 1971 (or countless others... ugh)
There's simply too many others from Ween, Zappa, John Zorn, Béla Fleck, Brian Eno, Coltrane, Talking Heads, Medeski, Martin & Wood, Marc Ribot, Dylan, The Band, Miles, Ellington, and, and, and....
I'd have to just bring my hard drive enclosure, as I've got over 7 TB of stuff (including a lot of live recordings).