"Unnatural" is your typical procedural, with a body per episode, some character development, and your team interacting with each other while the plot of the episode develops. However, the setting, acting, and touch make this show really enjoyable, even if not particularly original.
The show centers on UDI, the Unnatural Death Investigation unit, an organization that works to discover the truth behind unnatural deaths that occur in Japan. Japan being a country where people are not normally buried, but cremated, which means you cannot go back to those bodies to do another autopsy. The UDI has a couple of lead forensic surgeons, Mikoto Misumi and Kai Nakado, and a group that works around them.
As said above, each episode offers a case, even though there is an overall arc that offers a particular mystery related to one of the characters, and some other mysteries and plot threads that will be developed little by little. The cases are not particularly surprising or original, but they are engaging enough and offer a couple of surprises along the way. The fact that the group has only a short time before the families want to cremate the bodies adds a countdown to the proceedings that make it more nail-biting (even if we have to suffer the 'character-running-to-stop-a-body-of-being-cremated' moment here and there).
The best of the show, however, are the characters and their interactions. Satomi Ishihara is particularly good here, her acting fitting the character better than in some of her other dramas. But the package around her, with Yutaka Matsushige or Masataka Kubota, really helps. Their interactions, banter, and how they are developed is the highlight of the show, with some very touching moments. Yes, the show may try to manipulate the viewer with the music and some particular plot twists, but when you care about the characters and it does it not in an intrusive (or very intrusive) way, you won't care much.
If you want a mystery of the week, with funny characters, and some feelings thrown into the mix, you may enjoy "Unnatural". A good one.