The Penguin: he needs a little tunning. It was ok to make him a power player, but without his histrionic behavior he'll never be the star he used to be. He's supposed to be the cartman of comics, the ultimate a-hole. On one hand he can charm losers into following him, on the other he loves to crap all over everyone in order to satisfy his own ego. He's obsessive, and he generates obsession about him. And the problem is that he's too smart. So, he's almost impossible to nail.
Toyman: Stick to the STAS version.
The Puzzler: same guy, loves puzzles and games, only he dosn't use them much as gimmicks. He's a freelance engeneer that designs the best traps for Superman and other heroes. He probably works with luthor, filling in the details.