The anime series GHOST HUNT is a shoujo series with a team of exorcists. The heroine is obviously totally clueless and is in love with the very narcissistic hero. There is also an Australian Catholic priest (who is portrayed well and his prayers sometimes chase ghosts away), a Shinto priestess (who is always ridiculed and turns out to be useless in each episode) and a Buddhist monk.
The “Seikon no Qwaser” anime however is pretty disgusting. It uses Russian Orthodox iconography and mixes it with pretty nasty fanservice. I had a Japanese friend of mine write a letter of protest to the producers for making a mockery of our religious images.
I thought Neon Genesis Evangelion was pretty blasphemous. It’s basically about people fighting against God, isn’t it? I never finished watching the series because of this objection. I could be wrong though to think this is so? Of course it’s just a show but for me there are certain things which are just not palatable.
There are many nice anime shows out there, some of the better ones would be Franz Kafka’s: A Country Doctor, Serial Experiments Lain, Grave of the Fireflies, anything by Miyazaki and The Place Promised in our Early Days. Of the more recent ones, A Certain Magical Railgun and K-ON! are very hilarious.