Definitely Monster. It's about a Japanese surgeon (working in Germany) who getting framed for the murder of one of his patients. Now on the run, he attempts to track down the killer so that he can stop them. This obviously conflicts him having once been a doctor. It's a psychological thriller/mystery and I'm recommending it because a lot story's told from the perspective of people on both sides of the law. It's also quite long but I feel like it changes things up often enough to stay interesting.

There's also Ghost in the Shell: Stand Alone Complex. It centers around an elite branch of the police called Section 9 and is set in a very believable cyberpunk near-future Japan. There's one big case that runs through the first show but there's also a lot of self-contained episodes. Since you've seen Psycho-Pass, I don't have to explain how many interesting things the show's capable of because of it's setting. So many great ideas are at play with this one.

Finally there's Mobile Police Patlabor: On Television and Mobile Police Patlabor: The Movie. I've only seen the Patlabor films (the one I linked being the first in a trilogy) so can't really speak for the show. Both are also about a branch of the police who fight crime using advanced technology. Definitely recommend the movies, especially if you want something slower/more contemplative. From what I understand, they're like the Ghost in the Shell films in that the series and the films are different incarnations of the same franchise.