@paipis:
Shoegaze
Dreampop
Industrial
EBM
New age
Epic/Trailer music
Chiptune
Goa trance
Triphop
Instrumental hiphop
To name a few. I also listen some of the more 'mainstream' genres such as alternative, math rock, experimental rock/electronics, and sometimes even pop, dubstep, chillstep, punk rock, and a list of metal subgenres etc.
Japanese Shoegaze > Western Shoegaze
trust me on this one.
(This actually applies to math rock too, just trust me)
Try Kinoko Teikoku, Bertoia, Tokyo Shoegazer and Shinsei Kamatte-chan
Good ways to find music you might like is making a Last.fm or Rateyourmusic account. They will give you automatic recommendations based on the music you listen to, the community on there can also recommend you music.
If you think you know your taste pretty well, you can also try to find blogs based on some genre's.
Yeah, I wouldn't suggest it for Japanese releases. Although I wouldn't know where to go for that kind of thing. Any suggestions?
And I do like me some Big Black.
umm, there are some blogs I frequent for japanese stuff.
j-mp3.info - is the most active I frequent(updated almost daily), though that is like, a lot of the japanese releases. Including idol stuff and other releases you might not want to bother with.
japshare.wordpress.com - this guy knows what he's talking about though. Hasn't been active for a long while, but some good stuff is available.
But I think the best way to explore is just asking others or checking last.fm. last.fm has a pretty good recommendation system, plus the related artists on an artists' page are pretty close.