So... is Chou Kuse ni Narisou finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: January 03, 1995
Manga finished: February 01, 1995
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
Shiratori Nagisa, a popular pink-haired idol, desperately wants some freedom from her idol life and her father's dojo. To escape, she disguises herself as a boy named Ootori Nagisa and enrolls in a new school.
Things get complicated when she falls for Nosaka Akira, a gang leader from a rival school, who also happens to be a huge fan of her idol persona.
Now, Nagisa must juggle her secret identities while navigating her feelings for Nosaka-kun and trying to keep her dual life a secret from him.
Adding to the chaos, her father, Nosaka-kun's father, martial arts animals, and a rising idol are constantly interfering, making her life anything but simple.