So... is Kyou no Asuka Show finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: January 05, 2013
Manga finished: July 27, 2013
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
Kyou no Asuka Show follows the everyday life of Asuka, a naive and innocent high schooler.
The series focuses on her interactions with others, particularly the men around her.
Unaware of how her actions might be perceived, Asuka inadvertently finds herself in situations that are often misinterpreted.
Each episode or chapter presents a new and humorous awkward scenario arising from Asuka's innocent behavior.
The anime explores the comedic misunderstandings that result from Asuka's obliviousness.