A few years back I asked for this exact thing and had Fairytale Fights recommended to me.
I have yet to actually get that game though. Of the games I do own though, I would recommend:
Blood Drive - A car combat game where every single element conspire to deprive it of any semblance of entertainment. Bad level design, overly loose physics, luck based game play, shallow combat and indistinct vehicles (Owning to the shallow combat - Decent character gallery though).
Mindjack - One of the most boring and uninspired games you'll ever play. The mind jacking aspect is a cool concept, but it's gameplay integration is shallow and nonsensical.
Basically, if you almost kill an enemy, you can brainwash them to fight for you. Completely ignoring the fact that they were just riddled with bullets. Then you have the ability to directly assume control over these mindjacked enemies. But bad AI makes controlling mindjacked enemies a hazard as your now AI controlled main character will run straight into firefights getting himself killed. There's no way to command mindjacked enemies or have your main character stay put.
Then there's the co-op, which allows a player to join as a blue hacker and play through the story cooperatively with the host. But players can also join as red hackers, assuming control of the enemy AI. Basically, allowing them to impede the host/blue hackers progress through the campaign, using superior numbers to take out the only two crucial characters (The main characters) on the blue team. In short, it's griefing as a gameplay mode.
Raven Squad Operation Hidden Dagger - A very clunky and lackluster hybrid of RTS and FPS. Hilarious voice acting makes it worth a try.
Know that if you allow someone to take advantage of you, they might make it a habit.