I am not sure if this has been done here, but I realized that some villains of Batman represent some type of criminal or a type of mental disorder in real world.

I want to add that even he is not the villain, Batman has obsessive compulsive disorder where he needs to make sure that everybody is following the law. He cut out his life as Bruce Wayne on some occasions where he choose not to love to protect Gotham City.

I can think of Two-face having a split personality or dual personality, Riddler being a narcissist because he does a crime and leaves a clue which tells us that he is proud of what he has done and he wants people to know that he did it. Joker is a sociopath and psychopath.

Anybody else can think of any examples or would like to correct or add up to what I came up with?

Catwoman represents all the backstabbers/in the gray zone people, id say?