Bah. Genre gamer? I'm above that. Call me a literary gamer, if you must.
...Snobbery aside, I often tend towards RPGs and strategy, plus some fighting games and shmups. Really though, I play almost anything barring racing/sports games. That, and being a dim, shambling neanderthal, I dislike most puzzle games too.
Edit: I'm pretty bad at RTS/TBS/shooters, and only acceptable at other genres, at best. This has yet to stop me, but considering I've always been gaming, the sheer ineptitude is a tad embarrassing.