The SSI General series, Age of Wonders series, Disciples series, Crusader Kings series, Europa Universalis series, Hearts of Iron series, the Might and magic RPG's (they are turn-based or have the option for it), Endless (Legends and Space), Civilization series. Those should definitely be fine for you.
You could also try some city builders (Sim City 4 and Tropico series should be manageable for you, so you might want give it a try with those first and go for the Caesar/Pharaoh/Zeus series afterwards).
Also, Panzer Corps and Order of Battle, the Jagged Alliance games. Democracy games, Big Pharma, Game Dev Tycoon are other games that you should manage fine and have a bit of fun with it.
I have really bad reflexes, so my preferences are for games that don't require those. I can manage reflex games, just not at an competitive level (the lightning speed required for online gaming). So i lean heavily towards games that have a slower pacing.
You could give a try to the Knights of the Old Republic and see if you can manage. Check it to a friend's home (one that owns the game), so you won't spend the money on something that you won't be able to play (not sure if you can still find a demo). Dragon Age and Mass Effect are probably out, as they do require some extra management in combat.
Also you should have no troubles in playing old point and click adventure games (Broken Sword series, Syberia series, Space Quest and so on)
Quite a lot more games in the link provided by licurg, but you should check demos (where available) or some youtbube vids too see if the gameplay is suited for you.