 If you liked
Psycho-Pass
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 ...then you might like
Fugou Keiji: Balance:Unlimited
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In both anime, the two detectives who don't get along with each other. The reason they can't get along is because they want to solve things with different solution methods.
Both Psycho-Pass and Fugou Keiji have similarities: Action, Police, Mystery and some Sci-Fi. Though Fugou Keiji has more comedy, while Psycho-Pass seems darker.
There are two main characters who have to solve the same problems, but have different views on how to do so, leading to arguments. They still have to work together though.
There are other supporting characters who are quite important to the story, even though it's centered around just a few.
Both anime start off with episodic stories (probably for world building and character introduction) before having a long connected story arc for the rest of the season.
As said before, Fugou Keiji has
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