Oh the first one for sure. Granted every Batman plot is contrived, but the whole Arkham City plot just took it to a whole new level goofy. Oh yeah, without holding any sort of vote or referendum lets just wall off huge portions of the city, including the court house and several industrial factories and just let thousands of criminals and super villains just run free. There is literally no chance they will plot anything.
And while were at it, lets just start throwing random people including high-profile billionaires, cops and journalists into the city jail, without trial or anything. No way that'll backfire.
Granted the whole blackgate fire/transfer prisoners to Arkham thing was contrived, but not nearly as much as Arkham City.
Besides which Asylum knew what it was doing. Sand Boxes are always tricky because they expect you to go and have fun somewhere in the box, and there's always a chance you won't.
Asylum pointed to things and said "this is fun." and we said "Yes it is."
City motioned to the entire city and said "Go have fun." And we said "Where? I can't find it."