This is actually my very first review so bear with me.
-No spoilers in this review
Vatican Miracle examiner is quite unique for an anime in that it explores Christianity, and more specifically Catholicism. There are a few other I won't bother naming, but this one does it quite well I think. It manages to present interesting plot arcs and stories that explore the idea of holy miracles but at the same it doesn't to shove it's religion in your face. What I mean is that anyone who isn't Christian can enjoy this show without ever feeling uncomfortable or offended.
The show has a few distinct arcs within it; in each arc the main characters travel to a different part of the world and do what Vatican Miracle examiners do. The story arcs are loosely tied together, but for the most part are separate. Not every story arc is created equal but none of them are "boring".
One thing you will either love or hate about the show is how absolutely insane some of these story arcs are. You would be surprised how convoluted these things can get. Personally I love these over-the-top plots.
Nothing too noteworthy or pleasing but it isn't bad by any standard.
The settings are usually done pretty well and set a nice tone for what is going on.
The main character designs are rather good, but the side characters are lacking. Too many of the side characters look the same or don't stand out.
OP and ED are quite good. The ED is sung by one of the main characters which I love and it's very cheerful and pleasant. It's especially good to hear the sweet ending right after a very dark and somber episode.
The background music is not something worth talking about but it serves it's purpose. I never thought to myself "this background music is bad" so therefore it's fine by me.
The two main characters are really good and well fleshed out, but beyond that there is almost no other significant character besides the main villain.
Hiraga- He is naiive, enthusiastic, intelligent, trusting, and kind.
Hiraga is a real pleasure in this show as he is always in good spirits and he is so filled with faith and hope that it seems like almost nothing can ever get him down. He is incredibly attached to his co-worker Roberto and they share a very strong bond; the bond they share is really easy to appreciate and it is especially highlighted in the ED and the dialogue the MCs share after the ED.
Roberto- Intelligent, calculating, strong. Roberto is Hiraga's rock. He is incredibly reliable and trustworthy. He is also endlessly knowledgeable about old books and runes, which is much more helpful than you would expect. Roberto had an incredibly difficult childhood and it is no wonder he works so differently than Hiraga. The two main characters essentially complete each other so they can work in a perfect partnership
It is lightly hinted at that Hiraga may be gay for Roberto but it is never mentioned directly or explored. Personally I'm glad about that.
Never was this anime boring. The characters are likable and the stories are interesting. The settings are well done and the plots are well thought out.
I almost always rate shows based solely on my enjoyment, but trust me, this show really isn't so bad.