I will listen to anything, and I do mean anything. I 100% support lastfm,
http://www.last.fm/user/danboyle86 is my page. Grew up listening to pretty much only classic rock so bands like the Beatles, Led Zeppelin, Electric Light Orchestra will always be among my favorites, but I really don't discriminate. As far as I'm concerned, there's pretty much a time and place for any song, even if I'm playing it in jest.
Pandora is definitely a great site too, but I really like Lastfm's recommended radio suggestions as well. And if you love statistics (pretty much anyone on this forum as near as I can tell), you can't beat the listening and trending stats it provides.