Does that phrase really exist? How could you possibly narrow it down enough to just a single entry? You'd have to break the guidelines down into sub-sub-genres. Favorite co-op Western where i can shoot a bear: Red Dead Redemption. Favorite co-op shooter full of infected zombie rushes: Left 4 Dead. Favorite co-op shooter with zombies, wise cracking robots, and a bajillion different weapons: Borderlands.
I could hand out awards all week and still not get through them all. My main point is, there would be such a massive tie for first that new awards would need to be made during the ceremony.
Finally, congrats to co-optimus on reaching 1k game database!