So... is Area no Kishi finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 29, 2012
Manga finished: March 29, 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
Area no Kishi centers on two brothers, Kakeru and Suguru, both deeply passionate about soccer, but with contrasting paths.
Suguru excels, quickly becoming a prominent figure in Japanese youth soccer, while Kakeru initially steps back, taking a managerial role after facing challenges on the field.
However, unforeseen circumstances lead Kakeru to reconsider his position and reignite his ambition to play.
Driven by a desire to compete in the World Cup, Kakeru dedicates himself to rigorous training, fueled by the success of his childhood friend, Nana, a talented soccer player known as "Little Witch" who plays for the Japanese women's national team.
The anime explores Kakeru's journey, combining the intensity of soccer with the emotional struggles and triumphs of adolescence, as he strives to achieve his dreams.