So... is 009-1 finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: December 22, 2006
Manga finished: November 14, 1974
... 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
009-1 takes place in an alternate reality where the Cold War has stretched on for over a century, dividing the world into two power blocs.
Our protagonist, Mylene Hoffman, codenamed "009-1," is a cyborg secret agent caught in the middle of this never-ending conflict.
The anime explores the tense political landscape, focusing on the technological arms race between the West and East.
Mylene, working with a team of fellow agents, undertakes dangerous missions filled with intrigue and betrayal, as she navigates the murky waters of international espionage.
The story hints at the ever-present threat of large scale conflict as the facade of peace begins to crumble.