So... is Okusama wa Joshikousei (TV) finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 24, 2005
Manga finished: March 29, 2007
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
Okusama wa Joshikousei tells the story of Asami, a seemingly ordinary high school girl who holds a big secret: she's married.
Her husband, Kyosuke, is even more surprising - he's a physics teacher at her very own school!
Their unusual situation is further complicated by Asami's father, who has forbidden them from taking their relationship to the next level until she finishes school.
The anime follows Asami as she navigates the challenges of being a married high schooler, trying to keep her secret safe while also attempting to deepen her connection with Kyosuke.
Adding to the drama, they must contend with various obstacles and interruptions from those around them, making their journey a complex and often humorous one.