So... is Rakudai Kishi no Cavalry finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: December 19, 2015
Manga finished: December 15, 2023
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
In a world where some people can materialize their souls into weapons, these "Blazers" aspire to become Mage-Knights. Ikki Kurogane, an F-ranked Blazer deemed a failure, attends Hagun Academy, a school for these aspiring knights.
His life takes an unexpected turn when he encounters Stella Vermillion, a highly skilled A-ranked Blazer and princess, in an compromising situation.
This leads to a duel with a significant consequence: the loser will become the slave of the winner. Ikki, considered the weakest, faces an uphill battle to prove his worth.
The anime follows Ikki's journey as he challenges the expectations placed upon him, forging new relationships and growing as a person while striving to become a respected Mage-Knight, despite his perceived shortcomings.