So... is Katsute Kami Datta Kemono-tachi e finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 16, 2019
Manga finished: June 09, 2023
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Synopsis
During a brutal civil war, desperate Northerners create super-soldiers called Incarnates, beings who are part human, part beast, possessing incredible power.
These Incarnates become instrumental in winning the war, but their existence is plagued by a hidden problem, a beastly nature they struggle to control.
After the war ends, many Incarnates succumb to this inner darkness, becoming dangerous and tragic figures.
A former captain of the Incarnates, Hank Henriette, becomes a Beast Hunter, tasked with putting down these fallen soldiers.
A young woman, Nancy Schaal Bancroft, whose father was an Incarnate, initially seeks revenge on Hank, but her encounter with him leads her down a different path: to understand the truth behind the Incarnates' suffering and the reasons for their ultimate fate.