Check Left 4 Dead 2 or Spintires, of course if you want to drive a truck ;) If you want to shoot, L4D2 is fantastic option

You can try Dying Light too, it's pretty fun with friends !

I would say Rocket League or Cuphead, because that's what my nephew likes (and the little rascal is a little better than me >:V )

Payday 2, Killing Floor (both).
One screen coop: Lovers in a Dangerous Spacetime, Rampage Knights (and other best beat'em'up games on Steam).

Overcooked, best couch-coop game ever!

Team Fortress 2 - Man vs. Machine
Killing Floor

Orcs Must Die! and the last Divinity.

castle crushers looks pretty fun

For two players, I'd wholeheartedly recommend Battleblock Theater, Resident Evil 5, Rampage Knights and Pixeljunk Shooter. Overcooked, Lovers In a Dangerous Spacetime and Keep Talking And Nobody Explodes are also loads of fun.

Borderlands 1 and 2.

Divinity OS

Overcooked is sizzling.

Thanks!