A shooter without guns? That's gonna be tough... Bioshock, System Shock 2 and Deus Ex are examples of FPS-RPG's, but they all have guns. They're great games... you don't actually HAVE to use guns with System Shock 2 at least (there's a Psionics skill-class), but all of those games are also primarily single player, so oh well - I tried.
The game Legend11 mentioned, TFC2 (and the original as well) are fantastic team-work FPS's with a unique class system. Has guns though (95% of games have guns, dangit.)
"Whenever you find a man who says he doesn't believe in a real Right and Wrong, you will find the same man going back on this a moment later." -C.S. Lewis
"We all make choices... but in the end, our choices... make us." -Andrew Ryan, Bioshock
Prediction: Wii passes 360 in US between July - September 2008. (Wii supply will be the issue to watch, and barring any freak incidents between now and then as well.) - 6/5/08; Wow, came true even earlier. Wii is a monster.
