The trouble with sports games is that they're bound to real-life games whose rules are stagnant. There's only so much you can do with that. That's why it's such a common sentiment that the best sports games are the non-realistic ones that have the liberty to do more with the game. For examples of "realistic" sports games that take things a bit further, though, look at NBA Jam or NFL Blitz 2000.
FPS is a fantastic genre if you look past all the AAA cover-based titles. Or go back in time some. When you've got some friends to play with, I still to this day think Doom is one of the best games of all time. It's got a community that over the years has kept it modern with custom levels and source ports with spiffy features. Not a lot of stuff online more fun than grabbing some buds, firing up Skype, and having a co-op run through some Doom levels.
Fighting games never really grabbed me, and it's probably because of the control schemes most of them use. While I appreciate the gameplay compexity that such controls add, they're also fairly unintuitive and sometimes frustrating to perform when your controller isn't a good one. The controls basically served as a barrier of entry that kept me from investing enough time in the genre to come to enjoy it. A shame, because the games look like a blast to play.
Not many genres I'd say I outright dislike... there's variance within each genre. You just have to look harder for it sometimes.
