Patient Gamers

OpenTTD.

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.

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.

There's good free multiplayer games (e.g. delat force, marvel rivals, deadlock)

Unless you mean single-player

we could always use more valiant Helldivers to protect our way of life. for freedom and democracy.

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.

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.

Wz2100 and zero-k. Let's blow stuff up.

X-Com (1993)+Mods, Jagged Alliance 2, Master of Orion 2, Starsector, Avorion and lately Balatro and Peglin for mindless fun.

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.

Another playthrough of BG3.

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

Very fun until one actually starts moving.