So... is Shiki finished or not?
It is a bit ambiguous in this case.
Why?
The anime finished before the manga:
Anime finished: December 31, 2010
Manga finished: June 03, 2011
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
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
In the isolated village of Sotoba, a peaceful existence is shattered by a series of mysterious deaths.
Dr. Toshio Ozaki, sensing something unnatural at work, begins to investigate the cause behind the alarming trend.
He joins forces with Natsuno Yuuki, a detached teenager, and the Tanaka siblings, who are grappling with the loss of a friend, to uncover the truth.
Their investigation leads them to suspect the newcomers residing in the Kanemasa mansion are somehow connected to the growing number of fatalities, hinting at a dark and disturbing secret hidden within the village.