So... is Juuou Mujin no Fafnir finished or not?
It is a bit ambiguous in this case.
Why?
The anime finished before the manga:
Anime finished: March 27, 2015
Manga finished: November 02, 2017
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
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
In a world plagued by mysterious creatures called Dragons, girls known as D's have emerged with the power to manipulate dark matter and wield powerful weaponry.
These D's attend Midgar, an all-girls academy designed to train them to fight the Dragons. Suddenly, a young man named Yuu Mononobe arrives as the first and only male D.
Yuu must navigate the complexities of Midgar, build relationships with the female D's, including his long-lost sister, and uncover the truth behind the Dragons' appearance and the nature of their powers. Together, they strive to protect the world from the looming threat.