Personally I like folk, jazz, classical, Celtic/other traditional, and parody/comedy (like Weird Al, Ray Stevens). I like almost anything, with the exception of rap, hip-hop, ANY FORM OF METAL, and pop. But as I said to each his own.
Radiohead, emo? Really? I have never heard that in my entire life. Radiohead is an incredibly popular band among music snobs -- they're considered all Innovative and Avant-Garde and Supr Indie To Tha Max. Emo is one word I would have ranked slightly above "gangsta rap" and below "thrash metal" in the list of genres likely to be applied to Radiohead.
Wikipedia sez: Alternative rock, electronic music, experimental rock.
For the record, I don't like Radiohead at all... that just baffled me!
Oh, really? I thought they were emo - there was a music magazine, for one example, that had all their Radiohead t-shirts in their emo section. Sure makes me feel better, though! :P
When you say you don't like Radiohead, do you include their latest album in that? I personally find In Rainbows to be much, much more subtle and interesting than their other albums. Team Sleep is much like it, though they're even more erudite and snobby, if anything :P