Proposed Games: Arkham Origins (as Renee Montoya), Arkham City, and Arkham Knight (as the Question)
The Arkham series, while drawing from all kinds of Batman sources, is especially fond of the DC Animated Universe, even featuring many of the same voice actors. Detective Harvey Bullock has already appeared as a semi-corrupt cop (with some room for redemption), but Commissioner Gordon's other favorite officer from Batman: the Animated Series, Renee Montoya, never graces the Arkhamverse.
Origins could certainly use a straight (as in not crooked, not as in heterosexual; we all know Renee prefers the ladies) cop besides Gordon, but let's be real, we're all way more interested in Renee the vigilante. After taking some time off chronologically in Asylum, she could return as the new Question for City, in which she breaks into the super-prison to help Batman from behind the scenes. And then of course, we'd be dying to see her interact with ex-girlfriend Kate Kane in Knight.