XCom and XCom 2 can be played entirely with the mouse. Minor typing if you want to name your soldiers, but nothing requires quick reflexes. Everything is turn based.

Emulation opens up a lot of options for old school turn based games. RPGs, turn based strategy. Any of the Pokemon games gen 1-3 can be played one handed with some clever button mapping. Any game made to use just the Wii-mote as a pointer would also work, but I don’t know those off the top of my head.

You might want to look into one handed controllers, or something like the FLIR USB dongle that you can use to map IR TV remote signals to keyboard button presses. Just need to use a remote that doesn’t already control something.