So... is Neko nanka Yondemo Konai. finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: December 19, 2015
Manga finished: January 01, 2015
... But 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
Neko nanka Yondemo Konai. tells the story of a boxer whose career is cut short by an injury.
Forced to find a new path, he decides to become a manga artist.
His life takes an unexpected turn when he suddenly finds himself caring for two cats: the shy and easily frightened Kuro, and her more energetic younger sister, Chin.
The anime likely explores the challenges and heartwarming moments of this tough ex-boxer navigating the world of manga while learning to live with and care for his feline companions.