Minor note: You spelled "rhythm" wrong. Could just be a typo, but it doesn't really matter.
- Action: Depends on what you consider action or action adventure. Zelda is decidedly an action-adventure series but you could classify say No More Heroes as both. If you put like No More Heroes, MadWorld, Devil May Cry, etc in this category, then it's definitely a strong contender.
- FPS: Kinda 50/50. On on hand, you get awesome FPS games like TF2 (I don't give a shit about people bitching about hats, it's still a fun multiplayer FPS), L4D (classic!), hell even Halo Reach (it's not all that bad if you don't take the multiplayer seriously and just bounce around free matches). On the other hand, I find all these "OMG REALISM" FPS games to be boring as hell. I guess you could classify FPAs in this category like Half Life or Metroid Prime. Probably not high up on the list for me.
- Strategy: I got bored of it a pretty long time ago. I don't like RTS games and the only recent strategy title I've been able to pick up and stick to lately is Valkyria Chronicles II. Most other things seem really boring now.
- Platformer: Usually they're fun but short affairs. You'll play them once and probably never pick them up again. That's mainly my issue with them. But I do love say Crash Bandicoot, Spyro, Jak and Daxter, and some Mario games (I'd be lying if I said I liked SM64 and Sunshine). 2D platformers, there's like some Mario games (SMB, SMB3, SMW), Castlevania (well, pretty much only Symphony of the Night and the DS games), and Metroid (I wasn't a big fan of Super Metroid for some reason but I loved Zero Mission and Fusion). Still not the top genre for me though.
- Puzzle: Tetris = infinite hours of playtime. Some puzzle games are complete crap, others are awesome though.
- Racing: Burnout, Crash Team Racing (the PSX original), maybe Mario Kart (although I still find it completely overshadowed by CTR), and a few unknown titles like Sideswiped. It can be fun.
- Sports: Ew, pass.
- Adventure: If this is like point-and-click affairs like Phoenix Wright then I'll pass. I don't like the genre as a whole.
- Survival horror: Some of the Resident Evil games are good, some of Silent Hill games are good, but largely it's not a genre I'm crazy about. Fun with friends, boring on your own.
- RPG: My favorite genre most likely. Most of the other genres here can skimp on singleplayer and just go "Oh, there's multiplayer though!" For RPGs, you usually can't do it, and if you do, it won't completely overtake the single player. With games that consistently offer hundreds of hours of game time in single player, its probably my favorite.
- Action Adventure: I'm assuming this is more like Zelda-type games but it's pretty much the same comment as action.
- Rhythm: I like some Rock Band games but everything else is just bleh.
- Simulation: I played the Sims 2 a lot as a kid, everything else is completely boring.
- TPS: I prefer them over FPS games but there's not a lot of solid TPS games. Only relatively fun TPS I found recently was RDR (which is more of a general sandbox game).
- Fighting (since you forgot it): It really depends for me. I'm a fan of the more simple fighting games that appeared lately. Marvel vs. Capcom 3 is awesome, Tatsunoko vs. Capcom is awesome, and then there's some "sorta-kinda fighters" like Dissidia and Super Smash Bros. that kick ass. Fun genre but if you throw me Street Fighter (well, I'd have to give it more practice), BlazBlue, etc, I'll probably pass.