As far as modding games go (not developing), I'm not aware of many that support Maya. Unreal Tournament and Quake are the only two that come to mind. You might check the Alias website to see if there are others available.

In terms of actual development, Unreal, Quake, and RenderWare are three of the main game engines that have Maya exporters. There may be more out there. Again, search the Alias website for more info.