So... is Seiken Tsukai no World Break finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: March 30, 2015
Manga finished: June 15, 2018
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
Seiken Tsukai no World Break focuses on Akane Academy, a school for students who have awakened memories of past lives.
These students, known as Saviors, are trained in Ancestral Arts to defend against monstrous Metaphysicals. Saviors are divided into two types: kurogane, who wield weapons, and kuroma, who use magic.
The story follows Moroha Haimura, who is unique because he remembers two past lives: one as a heroic prince and another as a dark lord. He forms connections with Satsuki and Shizuno, who were significant figures in those past lives.
The anime explores the challenges these students face as they navigate their present lives while grappling with the echoes of their past, ultimately questioning whether they can forge a brighter future.