So... is Mister Ajikko finished or not?
It is a bit ambiguous in this case.
Why?
The anime finished before the manga:
Anime finished: September 28, 1989
Manga finished: January 24, 2012
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
Mister Ajikko tells the story of Ajiyoshi Yoichi, a young and incredibly talented cook who runs a small family restaurant. His life takes an exciting turn when he impresses a food expert named Murata Genjiro with his amazing katsu-don.
This leads to Yoichi being invited to a prestigious culinary establishment where he's challenged to a cooking competition. Using his innovative ideas and passion for food, he overcomes the challenge and proves his skill.
From there, Yoichi embarks on a journey, constantly pushing his boundaries and facing off against other skilled chefs. He strives to create the most delicious and satisfying dishes, always putting his heart into his cooking.