So... is Hourou Musuko finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: April 01, 2011
Manga finished: July 12, 2013
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
Hourou Musuko (Wandering Son) tells the story of two young friends navigating the complexities of gender identity as they enter adolescence.
Shuichi, a boy who is often mistaken for a girl due to his delicate features, struggles with his assigned gender.
Similarly, Yoshino, a girl who identifies more with masculine traits, feels out of place in her own skin.
As they start at a new school, they must grapple with making new friends, maintaining existing relationships, and confronting the challenges that come with exploring their gender identities during a pivotal time in their lives.
The anime focuses on their journey of self-discovery, touching on themes of acceptance, love, and the difficult choices they face as they come to terms with who they truly are.