This is coming from a Wookie!!!!!
Chewbacca was one of the deepest characters ever conceived for a movie.
Seriously though, I never found any comic book movie to be particularly deep; and that includes the Nolan Batman trilogy. I really don't understand when people say DC's CBMs are deeper than Marvel's. In my head, they are making the mistake of thinking dark, brooding movies with depressed heroes and villains as something that is "deep".
I don't find Nolan's villains any better than what we've seen from Marvel either. The only advantage they have is that they were played by very strong actors. That's why I also think people liked the villains of TWS.