So... is Fuuka finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: March 24, 2017
Manga finished: April 04, 2018
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
Fuuka tells the story of Yuu, a boy who just moved to Tokyo to live with his sisters.
He has an unexpected and somewhat violent encounter with a girl named Fuuka.
They both attend the same school and become friends, eventually deciding to start a band together.
The anime focuses on their journey into the world of music and how Fuuka impacts Yuu's new life in the city.
It's a coming-of-age story about friendship, music, and navigating new experiences in a new place.