So... is Hyouge Mono finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: January 26, 2012
Manga finished: November 30, 2017
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
Hyouge Mono takes place in feudal Japan during a period of intense conflict.
The story follows Furuta Sasuke, a samurai serving under the powerful Oda Nobunaga.
Furuta is not your typical warrior; he's deeply passionate about tea ceremony and beauty, always searching for unique and valuable objects.
Inspired by both Nobunaga and the renowned tea master Sen no Soueki, Furuta navigates the turbulent political landscape while pursuing his artistic and materialistic desires.
The anime explores Furuta's journey as he attempts to find a fulfilling life, blending his love for art and tea with the responsibilities of his samurai position, essentially walking the path of the Hyouge Mono.