So... is Karasu Tengu Kabuto finished or not?
It is a bit ambiguous in this case.
Why?
The anime finished after the manga:
Anime finished: June 30, 1991
Manga finished: January 01, 1988
... But we could not confirm the source content in MangaUpdates.
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
Long ago, in feudal Japan, a hero named Kabuto was born with a destiny to fight evil. Now, centuries later, a powerful demon named Kuroyasya Douki has escaped from hell, seeking revenge on Kabuto's descendants.
Kuroyasya Douki possesses immense magical power and deadly swordsmanship, making him a formidable threat. To combat this evil, the benevolent gods of the four directions offer their aid to Kabuto's lineage.
The current Kabuto is aided by a peculiar talking sword, forged by his father, as he struggles to survive against Kuroyasya Douki's onslaught and protect his family. He must find the strength to overcome the demon's malice and fulfill his destined role as a champion of justice.