YES, it is finished.
The anime finished after the manga:
Anime finished: March 25, 2017
Manga finished: June 07, 2016
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
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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Anime - Base
Release date: January 09, 2016
Anime - Sequel
Release date: January 07, 2017
Shouwa Genroku Rakugo Shinjuu tells the story of Yotarou, an ex-yakuza seeking a new path in rakugo, a traditional Japanese art form.
Inspired by the performances of the renowned Yakumo Yuurakutei, Yotarou becomes his apprentice, embarking on a journey of learning and self-discovery.
He encounters Konatsu, the daughter of a deceased rakugo master, Sukeroku, who holds a deep connection to the art and a complicated history with Yakumo.
The anime explores the complex relationships between these characters, the contrasting styles of rakugo they represent, and the dedication required to preserve this unique storytelling tradition, weaving between the present and memories of the past.