So... is Bari Bari Densetsu finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: December 16, 1986
Manga finished: January 01, 1991
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
Bari Bari Densetsu follows the journey of a young man named Gun and his passion for motorcycles.
Initially riding a modified Honda CB750F, he's drawn into the world of street racing.
As his skills develop, he sets his sights on professional road racing, facing challenges and honing his abilities along the way.
The anime focuses on his evolution from a street rider to a competitive racer, emphasizing the dedication and perseverance required to succeed in the demanding sport.