So... is Toaru Hikuushi e no Koiuta finished or not?
It is a bit ambiguous in this case.
Why?
The anime finished before the manga:
Anime finished: March 31, 2014
Manga finished: November 18, 2015
We could not confirm the source content in MangaUpdates.
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
Toaru Hikuushi e no Koiuta centers around Kal-el Albus, who is dispatched to a floating island called Isla to discover the truth behind a mythical "end of the sky."
He enrolls in the Aerial Division of Cadoques High, expecting a peaceful school life.
However, this tranquility is shattered when an unexpected assault from an air tribe thrusts Isla into a fierce and brutal conflict.
The story follows Kal-el as he navigates this war, his relationships with his classmates, and the mysteries surrounding Isla and the "end of the sky."