So... is Cleopatra D.C. finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: May 24, 1991
Manga finished: January 01, 1991
... But 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
Cleopatra D.C. revolves around Cleo, the young and capable head of the Cleopatra Corns Group, a massively influential corporation in the United States.
Her life, already filled with the responsibilities of running such a powerful entity, takes a turn for the chaotic when a series of bizarre and dangerous events begin to plague her.
These incidents, ranging from property damage caused by unexpected airplane crashes to involvement with stolen artifacts and rogue cyborg projects, constantly test Cleo's abilities and put her in precarious situations.
The anime follows Cleo as she navigates these escalating crises, maintaining control of her company while dealing with the increasingly strange and dangerous forces at play around her.