So... is Walkure Romanze finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: December 23, 2013
Manga finished: February 03, 2014
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
Walkure Romanze is set at Winford Academy, a school where students train to become knights and participate in jousting tournaments.
The story follows Takahiro Mizuno, a former jouster who, after an injury, becomes a begleiter, an assistant to the knights.
Due to his skills, he's highly sought after, but he generally avoids becoming anyone's permanent assistant.
However, when his friend Mio finds herself unexpectedly challenged to a jousting duel, Takahiro agrees to help her as her begleiter, sparking an unexpected partnership that leads them to compete in the school's annual tournament.