Bad Boss: While he seems amiable enough with his two henchmen who share his love of killing, he's implied to have killed other henchmen in the past on impulse and the first thing they do when he recovers from a severe injury is holding a gun at his face until he calms down.
Even Evil Has Standards: As he's molesting and interrogating Frey, he doesn't want her daughter to view his atrocities. Subverted later, as it turns out that he is perfectly willing to let her die with no remorse. In his final fight with Max, he also allows the latter to at least stand back up after knocking him down instead of just shooting or stabbing the latter while they're on the ground.
Verbal Tic: He has a tendency to call Max "boykie".
Played By: Wagner Moura
Big Good: About the closest thing we have to one in this movie. While he is technically a criminal, he does abandon his original plan of hijacking Carlyle's brain and using the information to steal the latter's money and resources. Instead he uses what Max downloaded from Carlyle to help out all of the citizens on Earth.
Genius Cripple: He walks with a limp and has to carry around a walking stick.
Good Is Not Nice: For all his noble intentions, he still did things like human trafficking and grand theft auto.
Large Ham: Ever wonder why Los Angeles of the future is such a dry, bland-looking place? It's because he ate so much of the scenery.
Non-Action Guy: Justified in that he's walking with a limp, and he's got plenty of guys who do the fighting for him, such as Max.
Reasonable Authority Figure: He orders his men to back down from Max, and they comply. He even gives him some Powered Armor to help him with his mission, and later becomes key to helping out everyone on Earth.
Drake and Crowe
Played By: Brandon Aurret (Drake) and Josh Blacker (Crowe)
I Did What I Had to Do: Her reasoning for acting the way she does is to keep the rabble on Earth out of Elysium, no matter how brutal her methods seem. She even warns Patel of this, and when illegals certainly do breach Elysium later, she tries to do an "I told you so" to him.
Xanatos Speed Chess: When the shuttle she authorized to land crashes on Elysium thanks to her off-the-books and illegal The Dragon, she doesn't miss a beat in feigning ignorance and blaming the entire incident on the President's more humane policies and then seizing control of the security forces in her capacity as War Secretary. It would have been more impressive if her next act had not been Bullying The Dragon.