So... is Ryuugajou Nanana no Maizoukin finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: June 20, 2014
Manga finished: December 28, 2016
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
Ryuugajou Nanana no Maizoukin centers around Juugo, a young man exiled to Nanae Island, an artificial island designed as a haven for students.
Upon arriving, he discovers that his room is haunted by the ghost of Nanana Ryuugajou, the island's founder, who was murdered ten years prior.
Nanana reveals that she hid powerful artifacts, known as the Nanana Collection, throughout the island before her death.
Juugo, determined to solve Nanana's murder, embarks on a quest to find these items, aided by a quirky detective and her maid.
The story follows their adventures as they navigate the island, searching for the Nanana Collection and uncovering clues to Nanana's past and the mystery surrounding her death.