I get kind of sloppy with the grouping of genres further down, but whatever, it's the stuff I lump together when I'm listening to music, so there, lol:
Some Punk (Damned, TSOL, old AFI, Black Flag etc.)
Post-Punk/Early Goth (Joy Division, Bauhaus, Siouxsie and the Banshees, Virgin Prunes, The Cure, The Bolshoi, Red Zebra etc.)
"Deathrock" (no, not metal): Kommunity FK, Rozz Williams' Christian Death, Phantom Limbs etc.
New Wave/Synthpop (Talking Heads, Strawberry Switchblade, Book of Love, Susie Q (SSQ))
Shoegaze/Ambient/"Big Sonic Chill"/Neo-Folk/ all other electronic music material etc.: Radiohead, Cat's Eyes, the second Horrors album, Crystal Castles, Suicide, My Bloody Valentine, Arms and Sleepers, Moby, Cat Power, Rose Mcdowall/Sorrow