So... is Kodomo no Omocha (TV) finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: March 27, 1998
Manga finished: October 03, 1998
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
Sana Kurata, a popular and energetic sixth-grader and child star, finds her seemingly perfect life disrupted by a troublesome classmate named Akito Hayama.
Akito's disruptive behavior has thrown her class into chaos, and Sana is determined to restore order.
She embarks on a mission to understand Akito's motives, hoping to bring peace back to her classroom and relieve the teacher's distress.
However, as Sana delves deeper into Akito's life, she discovers there's more to him than his troublemaking facade suggests, hinting at hidden complexities beneath the surface.