So... is Arcana Famiglia finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 16, 2012
Manga finished: April 22, 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
Arcana Famiglia takes place on Regalo Island, where a mafia-esque group known as the Arcana Famiglia protects the peace using supernatural powers granted by contracts with tarot cards.
Their leader, the "Papa," decides to step down and announces a competition called the Arcana Duello to determine his successor. The winner gains the Papa title and can have any wish granted.
However, the Papa also declares the winner will marry his daughter, Felicità. Upset with this arrangement, Felicità decides to participate in the Duello herself to forge her own destiny.
The story follows Felicità as she fights for her freedom and right to choose her own path, while her actions attract the attention and affections of other competitors.