Really depends on your tastes but you can play a bunch of game with a mouse only, without actually needing high precision or whatever, so as long as you have an ambidextrous mouse you could just use that. If not buy a crappy cheap one or a trackball/trackpad/what Dom said so you can use that. Games that would work would be anything that's not action based. Turn based JRPGs/CRPGs, list here is long and depends on what you've played, Dragon Quest XI, Divinity 2, Bard's Tale IV, Trails in the Sky/Cold Steel and so on. Strategy games, Total War might be tough unless you pause combat constantly but the actual strategy games tend to have simplified combat, check all the Paradox shit and what not. Card games maybe? MTGA, Artifact, different style but Slay the Spire(early access but is mostly finished, comes out next month for real but I think content is done, just balance/bug fixes left).
If I broke my hand tomorrow(probably not from punching a wall though cause that sounds like a retarded way to break your hand if you're not a teenager anymore), I'd have a bunch of games in my backlog I could play easily just looking at my Steam list, and there's a bunch more in my wishlist. I'd be pissed cause of FFXIV patch though, but I think I might try playing it with one hand, I think it might be possible for basic stuff at least.