So... is Seishoujo Kantai Virgin Fleet finished or not?
NO, it is not finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
Set in the period before World War II, Seishoujo Kantai Virgin Fleet centers on a unique naval academy for girls.
These girls, known as the "Virgin Fleet," possess a mysterious power called "Virgin Energy."
With tensions rising and the threat of war looming, a young pilot named Shiokaze Umino must learn to control her abilities.
Her mission is to protect Japan from an impending crisis that could lead to its downfall, relying on her newfound powers and the strength of the Virgin Fleet.