I've been chipping away at that deep rock galactic reverse bullet hell game for a while now. Don't have the patience to play anything for more than half an hour these days.

Balatro is my current go-to game. Not sure if it is patient gamer material since it came out relatively recently but it is cheap and on all platforms. Poker themed maths game.

FIFA, a lot of the time. Lately it's been Rocket League.

OpenTTD.

I play the "What's that black dot on the wall and is it moving?" game.

Very fun until one actually starts moving.

Shmups. Not any one in particular, although ESP Ra.De. or DDP DaiOuJou often tend to be top of my list.
Otherwise, Streets of Rage 2 or TMNT: Turtles in Time.

Dino Run

Ys Seven for the PSP. I have Ys VII and Ys: MoC for the Vita and Ys IX for the Switch, but there's something about Seven that keeps me coming back.

Probably Fortnite. It's not just one battle royale game anymore. If I feel like racing, I can play Rocket Racing. If I feel like building, I can play Lego Fortnite. Festival if I want a Guitar Hero experience, Ballistic if I want a Counter-Strike experience, and so on. It's all tied to Epic's servers though, so it's not for life.

TV