So... is Vampire Hunter 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)
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 a world dominated by supernatural creatures known as Darkstalkers, constant power struggles are the norm. Vampires, werewolves, and zombies vie for supremacy, each with their own ambitions.
However, this delicate balance of power is shattered when two new threats emerge: the Huitzil, ancient Aztec robots intent on eradicating humanity, and a solar deity from space with designs on Earth's conquest.
Faced with annihilation, the Darkstalkers must reluctantly unite and set aside their differences to confront these formidable enemies and save the world from utter destruction.