For real slow, chilled out, melancholy stuff, i suggest 'Sigur Ros', 'Mogwai' and 'Mum'
Jazzy, drum and bass, experimental rock, check out 'Lake Trout' (these guys are amazing, especially live - very hard to describe their sound... just read the two descriptions on here
http://www.myspace.com/LakeTrout and go here to listen to the entire last album
http://www.palmpictures.com/laketrout/ecard/buy/)
For some realy good indie rock, check out 'Minus the bear'
also, I have been diggin on the 'Bloc Party' cd for a month or so now... really good. And today I am going to pick up the new Alkaline Trio cd, since what I've heard of it is pretty good.