I recently played The Suffering.
It had a standard 3rd person chase cam, and sometimes used a fixed cam for some rooms.
The nice thing about it, however, was the option to switch to First Person perspective. When you did, the game actually BECAME a FPS. some controlls were slightly different to appeal to the FPS style.

For some, jumping from one ledge to another is harder in FPS tahn in 3rd Person, but for other, its the opposite. Having both views was nice to be able to see the environment easier. You cant look up as easy in 3rd person, so alot of games ahve a First Person view taht you can use to do it, but then you're usually at a vast disadvantage if you get attacked in First person Mode.In the Suffering, you could look around the environment, and not have to change views to kill the bad guys.