Anime, Action & Adventure, Card & Board, Casual, Free to Play, Multiplayer, Puzzle, RPG, Strategy, as well as those with both Steam achievements & trading cards plus some Visual Novel types, to a lesser degree, are my main gaming categories. I also like playing Shooters or Looters & Fighting games, along with some Rogue types.

I'm not really into Tower Defense or Racing games. There are some which catch my attention once in awhile like "Dungeon Defenders" did though.
Chaotic race/kart games such as: "Sonic Racing Crossworlds", "Mario Kart", and "Diddy Kong Racing" is fun, but I stay away from realistic ones.
Sports games are a no. I never had an interest in them growing up, or enjoy watching one, even though I like shooting some hoops myself, plus did trek and field when I was younger. I enjoy Table Tennis/Ping Pong too. Playing a video-game of these doesn't catch my interest.

MOBA games I may dip my hand in every now and then, but it's one I steer away from, due to the teamwork element often being a major requirement for victory, more-so than the FPS multi-player games for me. It can end in a headache or rage-feast and makes the experience less enjoyable when matched with certain "toxic" players while I'm trying to learn the game. I can't commit to constantly learning to play and getting better with those scenarios in mind, even if I love the art or certain characters. "Smite" is one I piddle with, but I've stuck to Arena exclusively on that, plus Pokemon Unite has been on & off over the years.
I suppose RTS games I steer away from too. The last time I really got into playing one was "Starcraft: Broodwar", if that says anything. Playing against the A.I. or friends while avoiding bad players online, can get stale if you know each other's tactics too well. Let's not forget with RTS games, your ability to micro or macro can also hinder your experience. I tend to tunnel vision too much.

Platformer are hit & miss. Playing the Super Mario games when I was a kid was a blast, but nowadays it just doesn't have that same appeal to me as getting into an RPG or action filled games like an online FPS, such as the "Battlefield" games, or loot & shoot Like Borderlands 4.

Bullet Hell games I just plain suck at and likely don't have the reaction to be nearly good enough to progress and have meaningful fun with them. Rabbit and Steel was cute and fun with Heavyblade Rabbit, but I still played terribly lol. To add to that, I could put something like "Super Meat Boy" in the same tier for me. While I don't mind platformer games, the more Difficult ones, which require repeat deaths to learn, are a nuisance I don't like dealing with. Also, Permanent death games, as well as games which feature an always Friendly-Fire on multi-player like Helldivers are a no-thank-you.