In the future, a system called Sibyl presides over the country and provides order to every facet of life. It dictates which job fields citizens should go into based on aptitude tests, and can even read each resident's mental state and predict which ones are likely to commit crimes in the future. Fresh from exams, Akane Tsunemori is beginning her career as an Inspector, a specialized police officer who works to apprehend these latent criminals and stop crimes before they happen. But not all that get caught are eliminated or jailed, some join the police force as Enforcers to provide insight into criminals’ minds, and Akane is warned not to get too close to them, as they're considered little more than hunting dogs. Though skeptical of this advice, and Sibyl's judgement, Akane is determined to work together with her Enforcers to protect the peace of her city and its inhabitants.
"Minimum"— Otherwise known as "small miracles", is a special power that only manifests within a few, select humans. Those who possess this ability are called "Minimum Holders." 2014: Yokohama. The detective duo of Nice and Murasaki, otherwise known as "Hamatora," wait again today for work with their friends at a table at Cafe Nowhere that they use as their agency. Suddenly, a job they receive seems to have a weird connection with the serial killer that their police friend, Art is searching for.
Both series contain a set of detectives that solve a series of crimes that are all being master mind by a single person. Each crime is irrelevant to the overall story but each crime gives a small detail to who the master mind is as well as how to take him down. Psycho Pass is much more darker than Hamatora though.
These two have a very similar plot and feel. Both take place in a high-tech future where society is tightly controlled by a central system. Both are essentially murder mysteries in which the characters search for the meaning behind serial killings, which leads them to a greater truth about the structure of society. I think that if you enjoyed one, you would definitely like the other.
Dr Kenzo Tenma is a genius surgeon working in post-Cold War Germany who has a bright future ahead of him. He is admired by his colleagues, loved by his patients, and due to marry his boss' daughter, the beautiful Eva Heinemann. One day, when two patients in desperate need of emergency surgery are wheeled into his hospital, Tenma faces a terrible choice of saving the orphaned boy who came first or the mayor of Düsseldorf, whose recovery would raise the hospital's profile and boost his own career. Against the demands of his superior, Tenma does what he believes is right and saves the child. However, his decision not only damages his prospects, but unleashes a chain of events so horrific that it might have come from the depths of his worst nightmares. Laden with guilt, Tenma begins a journey across Germany in search of a formidable young man who will challenge his morals, his love for life, and his very sanity.
In each of these shows, a sociopath who not only commits murder himself but also drives other people to the same is hunted by someone who lost everything and devotes everything to the hunt. If you enjoy thiis dynamic and psychological interplay, then both of these shows are for you.
This is a bit of a gut-feeling recommendation, but these shows remind me of each other for some reason. Probably because all the dismembering of schoolgirls. Both are detective anime, and pretty dark and moody, though Psycho-Pass is more of an action-detective series, and Mouryou no Hako is more of a sit-around-a-table-and-talk-about-stuff-detective series (and has better animation).
A young man awakens in an abandoned warehouse with no memory of his past. As he leaves the room and ventures further into the warehouse he is attacked by a girl in a mask; she tells him that in order to live he must come at her with all his might. After a fight for his life, he manages to overpower the girl, learning that he is to be trained as a Phantom - an assassin for the Inferno organization. He is also given a new name: Zwei. For three months, Zwei is trained by the girl in the arts of assassination until he has just one final test: to kill a living human being.