So... is Genocyber finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: July 21, 1994
Manga finished: January 01, 1992
... 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
In a near-future world where national boundaries are blurring, powerful corporations are vying for dominance, often employing their own militarized forces.
The Kuryu Group, a particularly ambitious corporation, believes it has found the ultimate weapon: the Genocyber.
The Genocyber is a terrifying fusion of advanced technology and potent psychic abilities, making it a force to be reckoned with.
Control of the Genocyber becomes the central conflict, as various factions seek to harness its destructive power for their own gains.
The anime explores themes of corporate warfare, technological advancement, and the potential dangers of unchecked scientific ambition, all set against a backdrop of a violent and unstable cyberpunk society.