Games that don't require much hand movements

Its not a game, but also important: get proper equipment!
You can always check ergo recommendations, but i would start with a proper mouse: probably a vertical one is a good start and if possible get one for each hand and use your other hand whenever possible. Seating posture is also a main factor for either carpal tunnel syndrome or other repetitive stress induced issues.
While you might feel its just an inconvenience now, you are on the wrong track already. Tread lightly and you can prepare for extended periods of severe pain.

Hope you will get better and take good care!

I don't know your taste but i recommended this https://store.steampowered.com/app/632470/Disco_Elysium/
I hope you can recover and enjoy

Looking at our common games... maybe not 100% working for you but you've got some unplayed Telltale games, where you often just sit and watch until you to some button clicking and mouse moving sometimes. I just got done with The Wolf Among Us today and thought the gameplay was really easy. The time sensitive segments are really short and don't have any complicated moves. (I really recommend it for the story too, what a unique setting)

VNs maybe, many of them have autoplay for the text if clicking is too harsh. Just don't read any NSFW ones if you have trouble moving your hand. You own Danganronpa V3 but haven't played it yet and that's a disgrace, but since you've played the other ones you probably know whether or not you'd be able to take it :p

The only game (which I've played) in your Library that fits into that is 100% Orange Juice since it's a board game and thus you only really need to do a handful of clicks per turn (with a lot of downtime while the other players are doing their turns) and the game even has the option to automate some of those clicks.
(The other kind-of-option is One Finger Death Punch, since it only uses two buttons and is played with one hand, but because you say that both of your hands hurt, it would be a bad choice since it is a very intense game.)

As someone else said above, it's probably a much better idea not to play anything at all until you get your hands checked out by a professional.

Depending on exactly what the problem is, you may want to consider a trackball instead of a mouse. Takes a bit of getting used to, but it eliminated the wrist pain I was suffering.

Perky Little Things

i pretty much hate all point n click hidden object games but this one is funny enough to keep my attention for .5 at a time. and i think its still on sale.

If you like card games, Slay the Spire and Cultist Simulator are both super fun. Not a lot APM required

Most racing games should be ok imo

anything turn based or slow paced in general should be fine.

Looking at your games that you haven't played, there's Civilization 3, Civilization 5, X-Com, Cities XL, Galactic Civilizations 2, Fallout,

I'd say avoid action games. How about point-and-click and adventure games in general, maybe also simulation and non-real-time strategy games.

Depending on how extensive finger movements we're talking about, Crypt of a Necrodancer could still be enjoyable. 1 hand required (only 4 keys - up, down, left, right), which can be accomplished with 2 fingers in 1 position, and 1 finger moving between up and down. Other than that, no mouse, no wrist, no 2nd hand.
One caveat is that game is layed to the beat of the song (time sensitive), but can really be stopped anytime, or even abandoned mid-run without any real loss (roguelike). There's also a player character that abandons the requirement of playing to the beat (though that's where the joy of playying this game comes from)
Is currently on sale and can be played with controller according to Stam store description, but I haven't tried that myself.

You could try games with voice control on Itch or Steam or with only one-button input on itch.

From your library, I'd recommend the visual novel Analogue: A Hate Story; it's pretty well written, explores social issues, and you get to play detective. The story can be pretty heart breaking though.

That's a bummer.

Be careful and try to rest your hands even if you do play more chill games, don't do extended sessions and get a proper vertical mouse. My girlfriend had to have physical therapy for years because of the hours she spent playing Medal of Honor without a proper mouse or controller.

I'd recommend taking a look at your whole library here:
Filter Your Library by Tags
and looking for games with tags like "point and click", "adventure" or "relaxing".

Good luck

You got a lot of good games and looking through your list that you haven't played, Tales of Symphonia and Tales of Zesteria are both great games that don't require much timing-based movements or rapid strikes, and can be played using the controller.

Hope you get your hand checked out soon and try to not over do it. It's usually a good idea to work on range of motion with passive stretching of the hands/fingers/wrists using the other hand. You can always try some gentle heat or ice cooling to see if either helps. Good luck!

Deckbuilder roguelikes have been my go-to for low hand movement if my wrists are acting up. Both Slay the Spire and Dicey Dungeons have been good good and I believe both are usable with a controller in addition to mouse. Both are currently 50% off on Steam and neither of them require fast reflexes or should be too demanding with quantity of clicks. Hope that helps

The two truck simulator games can be played with a controller, and they're both on sale.

Euro Truck Simulator 2
American Truck Simulator

Have you thought about getting some arthritis compression gloves such as https://www.amazon.com/dp/B076CG3C8Q?. They're supposed to help for arthritis, carpal tunnel, RSI, etc. Might help your situation. You should ask your doctor about it.

https://store.steampowered.com/app/1164050/When_The_Past_Was_Around/
👍

Warsim: Realm of Aslona, keyboard only, just the number (0-9) keys.

Sunless Seas/ Sunless skies, and use the autopilot/full steam

If you like strategy games, you can play [name of any turn-based strategy game]. And i hope you get well soon.

You can play: Home, Valiant Hearts: The Great War, Party Hard, Tales of the Neon Sea, Bright Days in Quarantine.