Games I've Played with a Broken Hand
I broke my hand, and can only use my right index finger and thumb. This makes it impossible for me to grip a controller and use shoulder buttons. Even when I set the controller on the floor, the cast limits how far I can stretch my thumb. So even if I could hit the trigger button, I couldn't use the thumbstick. My cast is also too bulky to use a mouse.
It's crazy to me how many games require using the right trigger. I hadn't realized until now. All shooters and racing games are out. That eliminates most of my library right there.
If I use my index finger to hold the controller (or phone) I can hit face buttons (or screen).
This is a list of everything I've successfully played so far. (Minus some pretty obscure mobile games.)