However, if you want some sort of campaign mode to play with actual storyline and objectives, you won't find any of that here. (monstervine.com)
And that was just the side missions in that game, it had actual storyline missions on top of it. (thejimquisition.com)
As far as actual storyline goes, it's rumored that the infamous Two - Face has plans to execute Catwoman in order to gain respect of the Arkham City inmates. (riddlethos.com)