@walexman I’m not sure if you can categorize these as “games,” they’re dex-based 3-d mazes, but I was hospitalized for a motorcycle injury for a while, and these things helped me get through it.
Look up “Perplexus,” I have a fair collection (not the giant one supported by gimbals, that would be awesome). You basically just manipulate a ball-bearing through complex 3d mazes.
I’d recommend the “Q-Bot” for a beginner, it’s a small cube, challenging but solvable with a few tries. Also, the maze is designed to like like a cute “Johnny 5” robot, which doesn’t hurt.
The larger ones are very challenging, globes about the size of somewhere between a huge grapefruit and a small basketball, and some of them let you (whoops, my bad, MAKE you) change the maze inside to solve them. (There are some smaller ones, the “Minis,” that are easy but fun, great for both kids and adults with dexterity issues, and BONUS they’re cheap! I like Cascading Cups)
They’d each fit on a tray or on your lap one at a time, and can easily be stowed since you don’t have to put anything away, they’re all self-contained.
If that sounds even slightly appealing, check them out and decide for yourself.