I don't know what your feelings towards point 'n click adventures are, but there are some great games in that genre, some of which are available right here on GOG.com, and most of them only require you to use the mouse (as the name would imply). Since you failed to mention it in the OP, I take it you're not a big fan of the genre, and will keep my p-n-c recommendations to a minimum:
- The Broken Sword Series (
Shadow of The Templars,
The Smoking Mirror,
The Sleeping Dragon,
The Angel of Death and
The Serpent's Curse);
-
Beneath a Steel Sky;
- The Legend of Kyrandia trilogy (
Book One,
Book Two,
Book Three);
- The Deponia trilogy (
Deponia,
Chaos on Deponia,
Goodbye Deponia);
-
Primordia;
-
Machinarium;
-
Sanitarium;
-
Harvester;
-
Bad Mojo (no mouse support, but you only play with the arrow keys, so there's no need to use your left hand at all);
-
The Cat Lady (same as with Bad Mojo, all you need are the arrow keys and the Enter/Return key);
There are lots more, but for now I think this is a long enough list of point and click adventures.
As for aRPGs, I'd highly suggest you try both
Nox and
Torchlight, even though you'll need to use your right hand for spells, potions and items.
All of the Infinity Engine games (
Baldur's Gate and
Baldur's Gate 2,
Planescape: Torment and
Icewind Dale followed by
Icewind Dale 2) can be played entirely with no use of the keyboard whatsoever.
Hope you'll like some of these, and have a quick recovery! :D