I was really, really irritated and upset, when I had watched the first episode. For all those around who have the same hate for whacky characters - brace yourself and you will be rewarded. Believe me.
Starting with anime itself. I really feel like writing a review on two titles (both sequel and this one) could be an option, but I still see them as a collective entity. Thus, my opinion is based on watching both seasons. The only thing I can say about them now - they have the similar idea, but take a different approach on expressing it.
Psycho-Pass has it's own unic way of showing the society, which is ruled by Sybil System - the ultimate and perfect (but not completely) judge, who dictates the law and makes the accusation and the same time. The ones who serve justice and find the guilty ones, however, are still humans. This 'human factor' sometimes leads to unexpected incidents such as the one in that notorious first episode, where Acane makes a debut appearance.
I personally think she is not the brightest and best character in this show, but I felt sympathy for her own way of dealing with criminals. She protests about killing humans, knows the value of life and tries to do everything the peaceful way, if possible. I could really tell that she had improved quite a lot throught the show and dumped some of the annoying features of her character.
Slowly making our way to Kougami and Makishima. They are both quite similar in their judgement and views, which makes them feel obsessed with each otherat the end. Kougami wants to fully understand Makishima, Makishima finds a perfect rival for himself, fair enough.
Kougami is brutal, manly and suited for the job of the enforcer, but he also has outstanding abilities as a detective, which made me admire him quite a bit.
The one thing that made me love this show was, in fact, a genius antagonist. Makishima is not the same as all those typical 'all-around evil' guys, who just hurrdurr at everyone, built towers and try to capture the world, failing at the end. You can clearly see Shougo's motives, and I can even say, that I'd feel the same urge to cast down the system as he did. He seems to somewhat enjoy killing people, but does it mainly to find the flaws in Sibyl's judgement. ...I was really amused when he refered to Orwell and Dick and said, that "e-books lack characters" too.
The second season also has a unic antagonist, who wants to shake the society and judge the entire system, but his is more, how do you say it, middle-classed and normal. He still has amazing knowledge in some aspects, but is more about empathy and revenge. No quotes from Shakespeare either.
Other characters were mainly to fill the plot, but they are very well-written too, especially Ginoza, which comes a loong way from an annoying wonnabe-dictator to a caring and tolerant person.
The other good point of the show is it's unbelievable atmosphere. The first season is more about bright colors and showing the life of suburbans becoming really dark and even scary when it wants to, which may shock some people that don't expect such gorgeous contrast. There were some amazingly well-made scenes of hysteria not only amongst individuals, but also amongst the citizens, which made me freeze on spot and just watch things happen with an open mouth.
The second season, however, is dark from the beginning, all the more messy and violent, so you quickly get used to it (if you ever can).
Openings and endings of both seasons represent not only the overall attitude of shows, but the state of mind of main characters too.
Overall, I enjoyed Psycho-Pass a lot and even digged some information about the show's plot in order to understand some motives and events. The show has left some matters to think of and discuss, so I consider it a good aftertaste.