So... is Ookami Shoujo to Kuro Ouji finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: December 21, 2014
Manga finished: May 13, 2016
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
Erika, trying to fit in with her new friends, fabricates stories about having a boyfriend. When pressed for proof, she impulsively photographs a handsome guy named Kyouya. Unfortunately, her friends recognize him, and Erika's lies threaten to unravel.
To salvage the situation, Erika begs Kyouya to play along. However, Kyouya is far from the nice guy everyone perceives him to be. He agrees to her request, but only under the condition that she becomes his complete servant.
As Erika navigates this bizarre fake relationship, she begins to see different sides of Kyouya's personality. Despite the initial power imbalance and his cruel treatment, she starts to develop genuine feelings for him, leaving her wondering if he's capable of reciprocating her affection.