Completely off the top of my head, not in order and probably way too big of a list, but I listen to about 12 hours of music per day minimum:
Siouxsie and the Banshees
Roxy Music
The Flaming Lips
The Black Heart Procession
Bjork
David Bowie
The Cure
Depeche Mode
Duran Duran
American Football
Joan of Arc
Cap N' Jazz
The Promise Ring
Mineral
The Get Up Kids
Swans
Sonic Youth
Echo & The Bunnymen
Leonard Cohen
Nick Cave & The Bad Seeds
Tom Waits
Zaho De Sagazan
Siekiera
Starflyer 59
Ida
Damien Jurado
Neil Young
Owen
Psychedelic Furs
Pink Floyd
Mogwai
Rocket From the Crypt
Hot Snakes
KARP
Unwound
Roadside Monument
Pearl Jam
Mudhoney
Cheap Trick