I'm very sorry to hear that man, I hope he'll get better everyday! :)
As for the game suggestions, Fortix series might be nice for him! Also some other games like:

• Cogs
• Chains
• Angry birds!! :D I think you can even get it for free on Chrome, not sure though.
• FEZ You can play it with one hand, but might be hard with right hand rather than left.

I don't have any suggestions but I hope your uncle gets well soon :)

my father also had a stroke last year(he was diagnosed with aneurysm)

may your uncle get well soon

He should be able to play WoW no problem.

English Country Tune perhaps ?
Abstract, near-textless presentation and low-key visuals may help. Difficulty of some of the puzzles may not though.

BItrip games? You need only one button I think.

Triple town, or any match-3 game.
Plants vs zombies?
Faerie Solitaire?

Anyway, I hope your uncle will get well.

Shame about the lack of reading, as this doesn't have voice acting, but Samantha Swift games - a hidden object style game might be possible. Also other casual titles by mumbo jumbo.

I am not sure what is too hard for someone like him but when someone wrote about online card games I had to think of these:
Card Hunter (open beta I think)
Faeria (still closed beta)

I wish him and his family all the best for the future.

Give Farm Frenzy a try.

Hi, my father has a similar situation.
For people in his condition you would be inclined to choose games that can be played with one hand only (like indie casual games). However, they can play much more than that. We bought a few months ago a Razer Hydra controller and we remapped the buttons from the two controllers on one only so he can play with one hand only. Hydra is highly customizable and it already supports a lot of games; besides that you can map any key on the keyboard to its buttons or do any configuration you like. We remap the WASD keys on the joystick of the stick and leave the mouse rotation (lookaround) as it is on the same stick - this way we can simulate WASD movement and mouse rotation at same time. It takes a while for the player to adapt, but it can be done.
With Hydra we can play Portal for example, platformers, or any game that needs WASD + mouse rotation + a few more action buttons, and someone also created a configuration for WoW druid, but I haven't tried it yet.
Also don't forget the strategy games out there that don't need both keyboard and mouse movement at the same time.

Please feel free to PM/add me if you need more details on this matter.

Also, a Razer Naga mouse can help a lot in some situations.

Try get into the hearthstone beta :)

I really feel bad after reading your uncle's story cause my father had stroke 8 months ago but we admitted him to hospital rightaway and that prevented further damage . I hope your uncle will be okay and come back to regular life although it could take some time . blessings for him :)

and for the games I would suggest any easy side scroller game :)

I came across that cute game on Android, it's called Badland, I think it's kind of stimulating and easy to play at the same time. You control a flying creature and just touch the screen to fly higher, stop touching to fly lower, etc. Sounds stupid the way I'm describing it but it's really worth it in my opinion.

Little Inferno is nice too on Android. The controls are simple, it's just about clicking and dragging (or touching and dragging), and it's relaxing, is a sandbox-type, perfect for your uncle (perfect for everyone actually !)

I wish your uncle the best and a quick recovery.

The one thing that immediately springs to mind is Botanicula. Simple, point-and-click controls that aren't at all twitchy, no reading, and it's cute as hell. Other Amanita games that I've played, like Machinarium, are also solid candidates, but Botanicula was my favorite of the bunch. Added bonus? They're in the current Humble Weekly Bundle. :)

Aside from games that have already been mentioned extensively (World of Goo, etc) I'm having trouble coming up with other ideas, but will keep thinking about it. Best of luck to your uncle and your family.

[edit]: Zen Bound 2, perhaps? Waking Mars was also a neat, relaxing game that I don't recall requiring much reading, but I played the mobile version, so I can't vouch for the controls on PC.

10,000,000 might be good. i remember playing it fully on m phone and it was pretty simple, like bejeweled.

Offspring fling was pretty simple and didn't have many controls when i last looked at it.

Also any worms game can be played only with the mouse.

Super Hexagon. It might be a bit too fast for him for now.

Osmos, EDGE, Neighbours from Hell?, NightSky, Toki Tori.
btw good luck to you, your family and uncle! be strong man.

Peggle Series. Only mouse. it's basically "click - wait - click - wait"

All kinds of adventure stuff. Yeah....a bit with reading but in fact you also can click on the dialogue and listen what you've chosen. Deponia Series for example.

I'm disgusted that a few people in this thread take this opportunity to be a comedian.

I'm sorry to hear about your uncle. I entirely agree with you that if he liked to play games, he should definitely try to keep that up to the best of his abilities. Keeping his mind sound will probably prove to be very important in the situation he's in.

As for what games, I have seen some very good suggestions above. World of Goo is probably great. I also think that general platform puzzle games will be good. Maybe something like Vessel, or if you look for something simpler, Thomas Was Alone was great, especially for the narrating.

I wish you and your uncle all the best.

Maybe Fortix or Zen Bound, not sure so please don't hold me to that.

When he recovers good logic and thinking ability, SpaceChem can be a good thing: no rush / speed / do-it-before-the-clock, you can take the time you want. Only one hand is needed. The game becomes more and more challenging with levels, so it is important that your uncle recovers logic ability first !

I'm terribly sorry about your uncle and I hope he will recover soon. Best way to help his recovery is to keep his mind active and games are a great way of doing so!

I would recommend you Angry Birds games. They're not too complicated and are easy to master and there's tons of them. Also Plants vs. Zombies is a great casual game. It only requires a bit of reading but it doesn't really matter if you can't read those since they're not necessary to understand to beat the game. You could also try binding of isaac. It's pretty challenging and can be pretty fast paced but if that's okey I think it could be worth a shot.

My condolecenses to you and your uncle

Sorry to hear about your uncle. I know how you feel, a few years ago something similar happend in my surrounding.
tho i came to suggest some games, they already were mentioned :/ i hope you find something that'll help your uncle and maybe give him a bit of fun during this though times.

all the best for your uncle and you!

My father had a few of these and I was thankful he recovered but soon after passed from cancer. My condolences to your Uncle.

Here are few ideas.
Game Dev Tycoon,
FTL,
Civilizations (any of them),
XCOM: Enemy Unknown,
Defense Grid: Awakening,
Plants vs Zombies,
Little Inferno,
Other strategy games that are hex based as long as they are simple.

There are also a few board games that have become digital. Like Small World 2 that he may enjoy.