Trivia: At the theater Clayface is watching "The Terror" a movie starring Jack Nicholson, who played the Joker in 1989's Batman.
Suggested correction: More likely, this is a reference to Clayface's origin in the comics, where he was an actor who starred in a film called "The Terror," then dressed as its killer and killed the cast and crew of a remake set to be made without his involvement (his shapeshifting powers coming later into his character's life). This is evidenced by how the film on the projection screen appears to be a black and white film from the 30s-40s, matching Clayface's first appearance in comics.
Other mistake: In the side mission "Identity Thief" Hush leaves Arkham City after revealing he now looks like Bruce Wayne. Problem is how he's able to, especially with Penguin's reward for bringing Bruce Wayne to him.
Suggested correction: Hush is a resourceful man, and could figure out a way to disguise himself or get to his escape route with minimal contact with anyone else. Plus, the Penguin's gang was decimated and Arkham City thrown into chaos during the events of the story, so most of the inmates probably had bigger problems than chasing a bounty that was likely rendered moot when Batman imprisoned Penguin midway through the story.