So... is Manyuu Hikenchou finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 26, 2011
Manga finished: January 25, 2012
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
In a fantastical Edo-era Japan, the Manyuu clan holds sway due to their power over breasts, which are a symbol of status and power.
Chifusa, the clan's chosen heir, rebels against this system and steals their sacred scroll, aiming to dismantle the breast-obsessed society.
Now a fugitive, Chifusa, aided by the sympathetic Kaede, must evade the Manyuu clan's pursuit and fight to bring equality to the land.
Along her journey, Chifusa will discover a hidden power within herself that could be the key to reshaping the world and achieving her goals.