There's only a handful of signature villains who are interesting.
The Joker, obviously, but he's ironically of limited use because you quickly run into "why doesn't Bats just kill him already?" territory.
Catwoman has the potential for an interesting dynamic because she's not evil and is mainly about being an incomplete Robin Hood, stealing from the rich and then not giving to the poor. :) So while she's technically a criminal, she's more of a foil. Batman uses his training to serve others, she uses her training to serve herself.
The Penguin is a really stupid concept from top to bottom. A fat FDR with lethal trick umbrellas?
The Riddler is even dumber. Doesn't have any powers, just an obsession with being an annoying prat. How is Batman even taking more than a half hour to defeat him?
Two-Face, he's just nutso. Insanity isn't a superpower.
After that you have to move into villains who have bad science superpowers. Freeze, Scarecrow, Poison Ivy. Then there's Jeff Dunham with a mobster dummy, I mean WTF? Some fucking idiot who does calendar crimes. It gets dumber and dumber from there on out.
In reality, nobody escapes from supermax. Bats puts someone away, he stays put away. But if Batman's reality is that any prison can be escaped, he'd better kill those villains dead or else more people will die. Do that and you don't have a story. Don't do that and you have a wallbanger plot hole.