My time to shine! My wife is notoriously picky about games. You didn't specify local or online co-op but most of these have local if not online since we prefer to only need one copy.
Apico
Death Road to Canada
Door Kickers: Action Squad
Dysmantle
Lego Harry Potter Years 1-4 (some of the Lego games around this time are also fun)
Mother Russia Bleeds
Nine Parchments
Party Hard
Riptide GP: Renegade
Road Redemption
Slipstream
Super Mega Baseball (any of them)
Textorcist: The Story of Ray Bibbia (I use the keyboard to type, she moves the character around with her controller)