Mmm, I dunno. A few of these would be more likely to piss me off even more, rather than calming me down.
Bulletstorm was fairly buggy on PC. Borderlands is a grind fest at any point beyond the opening segments. Dead Island is rubbish, through and through. And, Shadow Warrior has such abysmally bad writing and overt stereo-typing I'd hate myself for turning to it to relax.
The rest, though. Agree entirely. DOOM, especially. The newest entry in the series is some of the most cathartic gaming I've experience in a long time.
If I may, besides those listed, some of my go-to 'relax and vent frustration' first-person shooters are:
* Left 4 Dead 2
* Quake 1 - 4
* Battleborn
* Half-Life
* Sven Co-op
* Team Fortress 2
Each I've become instinctively good at, so I don't have to concentrate that hard to do well (enough). And each has some moment(s) of catharsis that help me relax.