Ho boy... remember, you asked!!
Shellac - Action Park (college/industrial like old Black Flag)
Alien Sex Fiend - Open Head Surgery (goth/death/industrial)
The Wedding Present - Seamonsters (college/indie)
New Order - Technique (indie pop)
Peter Murphy - Love Hysteria (indie pop)
and I *just* swapped out Iggy Pop - The Idiot (1977, with the original version of China Girl co-written by David Bowie) for Alien Sex Fiend - It: The CD (cd1) about twenty mins ago during lunch.
I also often keep Scientist Rids the World of the Evil Mummies somewhere in there (most of which provides the soundtrack from Grand Theft Auto 3's "Jah Radio").
Funny story about my music, and any "goth" should know this. In 1977, Iggy Pop and David Bowie lived together in London during their darkest, most drug-infested period. They produced The Idiot, above. The last track on that album was "Funtime", which includes the line "last night I was down at the lab/talkin' to Dracula and his crew". In 1984, David Bowie starred with Catherine Deneuve in "The Hunger", where they played a couple of thousand-year-old vampires. There was a scene in the movie that included that Iggy Pop song, Funtime. Before all that, though, the movie opens in a NYC goth dance club with a song called "Bela Lugosi's Dead", played by Bauhaus. (that song was always played at the beginning to the "Goth Talk" skit on Saturday Night Live in recent years). Now, Bauhaus split up in 1987, and the lead singer, Peter Murphy went solo, while the rest of the band became Love and Rockets (of "don't know what color your eyes are, baby but your hair is long and brown" fame). Peter Murphy's first solo album, Love Hysteria (also above) includes a remake of Funtime! But note, he changed the lyrics from "gonna get stoned and run around" to "gonna get dressed up and run around". Finally, during my well-documented cross-country trip earlier this year, I found out by accident that The Cars also remade the song Funtime. And of course, it should go without saying that David Bowie later went on to remake China Girl.
So, to recap, Iggy Pop, David Bowie, Bauhaus, Peter Murphy, and Love and Rockets (and I guess even The Cars) are all bound together via music featured throughout the movie The Hunger. They account for about 20 or more CDs at home. Sorry I can't work in the *other* half of the goth world, Joy Division/New Order and Sisters of Mercy. Maybe another time