I picked:

Blues-
Because I like the blues when I get to hear it.

Classical -
I like Beethoven and Mozart.

Rap/Hip Hop -
Because I like some rap, i.e. Biz Markie, Run-DMC, Dr. Dre, some Snoop Doggy Dogg... but I hate Eminem, which shows I can be selective (I guess... )

Modern Rock -
Because there are some decent new rock bands out there, the best currently being System of a Down.