--Batman saving The Joker.--

I don't think I've read a single "Batman" comic where Batman *didn't* save the Joker when he was about to die. That's completely in character for Batman - it was Burton's version that was out of character for him.

--The Joker making a deal with the mob to get their money when he cares about nothing.--

He just wanted them under his thumb. He didn't care about the money, and if he did, it was just to see their faces when he burned "his half."

Those were the two that jumped out at me, but it really seems to me like you really didn't want to like the movie to begin with and you're just trying to nitpick it to death.