Have never thought about it so dunno how awkward it'd be, but maybe NES and SNES turn-based RPGs? Quite like Mystic Quest out of them, Final Fantasy on easy mode pretty much but pretty chill and enjoyable imo.

Would recommend also hasicontent, Slipways Classic and Dust Bunny, all for PICO-8 and on Itchio, and those I think that'd be more feasible one-handed. Also Final Fantasy II for the PSP specifically as it's the most feature complete version, and this one iirc is feasible with one hand.

Also more feasible and native to Android if that's your phone system, Chloe Playtime (Google Play), Codemancer (Itchio), Deeper Down Dungeons (Google Play), Quest of Dungeons (Google Play, Humble Bundle, Itchio), REDDEN (dunno if still distributed anywhere) and Tyrant's Blessing (Google Play).

And don't remember any, but if there's any game compatible, maybe also check stuff playable on ScummVM, Joiplay, and other similar projects?

Anyways, hope you get well soon, fellow stranger!