So... is Houkago Saikoro Club finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: December 19, 2019
Manga finished: June 11, 2021
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
Houkago Saikoro Club follows Miki, a shy high school girl who feels disconnected from her classmates and unsure what "fun" truly means.
Her life begins to change when she meets Aya, who introduces her to new experiences and perspectives.
Together, they discover Saikoro Club, a board game shop where they encounter their class representative, Midori.
Miki is drawn to the engaging world of board games and begins to understand the joy she has been missing.
The anime chronicles Miki's journey as she explores different games, makes new friends, and gradually emerges from her shell, all through the shared experience of after-school board game sessions.