So... is Astarotte no Omocha! finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: June 26, 2011
Manga finished: December 27, 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
A young succubus princess, Astarotte, is destined to rule but harbors a deep aversion to men, a problem considering succubi need male "life seed" to survive. Her attendant brings a human single father, Naoya, from the human world to become part of her harem in hopes of changing her mind.
Naoya's presence begins to change things for Astarotte. He doesn't treat her like the other succubi expect men to. When his daughter, Asuha, joins them, the dynamic shifts further, creating conflict between Naoya and Astarotte.
The anime explores their evolving relationships, and Naoya's arrival is revealed to be more than just a random occurrence, suggesting a deeper connection between him and the magical world, hinting at a destiny woven into the fate of the princess and her realm.