So... is Kaze ga Tsuyoku Fuiteiru finished or not?
YES, it is finished.
Why?
The anime finished after the manga:
Anime finished: March 27, 2019
Manga finished: November 17, 2009
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
Watching Order (by release date)
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Synopsis
Kaze ga Tsuyoku Fuiteiru follows Kakeru, a talented but troubled former high school runner, who finds himself recruited into a run-down apartment complex by Haiji.
Haiji, an enigmatic student with a burning ambition, dreams of competing in the prestigious Hakone Ekiden, a grueling university marathon relay race.
The catch? The apartment, Chikusei-sou, houses a group of eccentric and completely untrained students who have no interest in running.
The story explores how Haiji attempts to convince and train these reluctant residents, including the initially resistant Kakeru, to achieve his ambitious goal of participating in the Ekiden. It's a tale of overcoming personal struggles, building camaraderie, and pushing beyond perceived limitations, all while striving for a seemingly impossible dream.