So... is Karate Baka Ichidai finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 25, 1974
Manga finished: December 14, 1977
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
Ken Asuka, a former kamikaze pilot struggling to find his way, initially resorts to street brawling and karate to solve his problems.
His life takes an unexpected turn when he's inspired by the legendary samurai, Musashi Miyamoto, through literature.
This encounter sparks a desire within him to dedicate himself to karate with newfound discipline and purpose.
The series explores Ken's journey as he seeks to emulate Musashi's path through the rigorous world of karate.