So... is Peach Boy Riverside finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 16, 2021
Manga finished: July 09, 2024
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
Princess Sally, naive to the realities of a world fractured between humans, demihumans, and the oni, embarks on a journey to find Mikoto Kibitsu. She possesses a mysterious power symbolized by a peach that grants her incredible strength, allowing her to combat the oni, who threaten humanity's existence.
While Sally strives for peace and understanding between the three factions, Mikoto, who shares her power, seeks the total annihilation of the oni. Their paths frequently intertwine as Sally learns the harsh truths of the world and confronts Mikoto's destructive goals.
The anime explores the conflicting ideologies of Sally and Mikoto, and how their powers will ultimately determine the fate of their world, steering it towards either harmony or destruction.