There's one crime you never really see committed in comics. Trademark (or copyright) infringement.
If supervillians are already robbing banks and taking every parties full of rich people hostage, you think they wouldn't be worried about being sued.
Do you think that maybe sometimes Spider-man or Batman have to fight new criminals that decide to call themselves things like Megatron, Skeletor, or the Shredder and we just don't get to see it?
And if so, do any of these heroes have a regular villain that they often fight but comics can't show it?