So... is Nyanpire The Animation finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 21, 2011
Manga finished: December 06, 2013
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
Nyanpire The Animation tells the story of a kitten brought back from the brink of death by a vampire.
Now a vampire cat called Nyanpire, he navigates his new life trying to secure his required blood sustenance and other red-colored substitutes.
He also deals with the everyday challenges of being a house cat while encountering a variety of other peculiar felines in his neighborhood.