So... is Vatican Kiseki Chousakan finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: September 22, 2017
Manga finished: December 15, 2018
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
Vatican Miracle Examiners follows the investigations of two priests, Josef and Roberto, who are tasked by the Vatican to verify alleged miracles across the globe.
These investigations are not always what they seem, often uncovering dark conspiracies, murders, and potentially demonic forces behind the supposed miracles.
Josef, a brilliant scientist, and Roberto, a knowledgeable expert in languages and history, use their combined skills to discern truth from deception.
Their work tests their friendship and their faith as they confront evil in their quest to find genuine miracles and expose the fraudulent ones.