For me to play it's turn-based strategy games, but I prefer to watch games for the story rather than play them myself most of the time so by that metric it'd be sci-fi games rather than a specific style of gameplay.
fixing puzzles, not the speed ones, the ones you need to think about.... So I like the artifact and the newer game of them "altered destiny".
Of course it also means I like most NLT Media games, actually all of them I know about...
I know those are easy puzzles, but better than none at all...