I'm looking for a new FPS - game similiar to Rage. It can be older one too from Bethesda. I'm big fan of Doom and Quake, please don't recommend those ones. Skyrim is a killer- game, but it's for role - players, I'm looking FPS...

Bethesda doesn't develop FPS games. Bethesda Softworks publishes those. Don't get Softworks confused with Bethesda Game Studios, however. They are the minds behind Morrowind, Oblivion, Skyrim, and Fallout 3 (Fallout: New Vegas was by Obsidian).

The only FPS game that Bethesda made is http://en.wikipedia.org/wiki/The_Terminator:_Future_Shock, unless you count Fallout 3.

And Skynet!