Personally, I like:
Most Rock, not Heavy Metal though.
Pop
Dance
Electro
A few Jazz pieces
Trance
A select few Classical Pieces
Basically, I enjoy listening to songs from a variety of bands and 'genres', but Queen is probably my favourite band. I often listen to one song from a band or artist, but find that I hate the rest of their songs!
About the only music I don't listen to ANY of is Opera, Rap and Heavy Metal songs, but most of what I listen to comes into more than one category or is a bit ambigious.