Really? I'd think Batman really would be number one. In universe one of the reasons he'd exist is due to either out right incompetence or how corrupted the police force is. I'd argue that the only real reason that he teams with Gordon initially any way is that Gordon yes is one of the good ones and Batman needs some one to A) feed him information and B) well you gotta put the bad guys somewhere guess it's with the only guy who wouldn't let them have "accidents" while in custody.
If were going to go with which character would be anti-cop in a movie, well Flash as he's a CSI or Superman would be the surprising ones and considering whose writing the next Superman movie and the rumored context well I wouldn't be surprised at all if this theme were to show up.