RPG and Adventure games, though I'm a sucker for some classic platformers. I want characters I can identify with (The Last Remnant, The World Ends With You, 9 Hours, 9 Persons, 9 Doors) and/or a story that draws me in (Virtue's Last Reward, Persona 5, Star Ocean 4). If a game doesn't fit one of those two requirements, it better be a platformer as fun as Spyro or Yoshi's Island.
RPG by far, though I dabble a bit in everything except Sports games. There are currently only 2 exceptions to that: Rocket League and Sonic & All-Stars Racing Transformed.
Role-playing, Action/Adventure, Platformer, Puzzles, Horrors/Suspense, Simulation and probably, racing. I could honestly play any genre except for FPS.
Used to be a big fan of (J)RPGs but not so much anymore as I don't have a lot of free time to play them. I mostly find myself playing turn-based strategy and simulation games these days