So... is Itsuka Tenma no Kuro Usagi finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 24, 2011
Manga finished: December 20, 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
Taito, a seemingly ordinary high school student, is plagued by vivid dreams and a nagging feeling that something isn't right.
These dreams center around a mysterious vampire girl who claims to have given him a potent gift.
After a near-fatal accident, Taito discovers that his dreams are far more than just figments of his imagination.
He begins to understand that he is connected to a hidden world, and the "poison" he received is about to drastically change his life.
Taito must now navigate this newfound reality and grapple with the consequences of this mysterious connection, all while uncovering the secrets behind the vampire girl and her gift.