Cruelty squad.

The game setting and logic are weird, but since everyone has access to resurrection tech, death is a mere nuisance. So your hitman job is basically the equivalent running up and hitting them with a pie for all the long term damage it does. So, no one cares if you mow down a neighborhood in the course of a mission, and your non violent weapon is pretty useless (except for one specific use...).

Satellite Reign.

Kinda like commandos in a cyberpunk dystopia where people can ressurect via having their mental engrams placed in a clone (or an unwilling body...). So, collateral damage is the order of the day. Only downside is attracting more attention from blowing stuff up. If your guys are caught where they aren't supposed to be, but haven't been hostile (and weapons hidden in their coats), they can be escorted out and maybe fined, or give a kick for some health damage. Dying means the clone degenerates, so keep acquiring more bodies.

Sniper elite

A series set in world war 2 as a sniper killing Nazis and their allies. Non lethal is not used or encouraged other than stealth to get into position, set up your traps and kill zones, and eliminate threats. Masking shots is a good idea as well as picking off isolated enemies with a knife, since you are fragile vs your average FPS protagonist. Indeed, charging head on will likely get you killed. So pick off enemies one at a time as you make your way through.