I was listening to the June CAA Radio podcast and there was mention of PluggedIn's cautionary anime and manga article. Of course I hopped on over to PluggedIn's web site and read the article. It was a bit of "fire! fire!" warning to parents--if that makes sense. I guess the problem I have with PluggedIn reviews is that they often don't go very deep, they just look at the surface of things and if something is nominally Christian they give it a thumbs up, whether there is any artistic merit or not. Whereas anime gets a thumbs down because it includes Japanese culture and religion, without looking at underlying positive moral lessons concerning friendship, loyalty, respect for your family and taking care of the environment.
That said, I'd like to recommend Steve Greydanus's reviews, the Decent Films Guide, "a site of film appreciation, information, and criticism informed by Christian faith".
"Decent Films is the online home of the film writing of Steven D. Greydanus, who is film critic for the National Catholic Register. A member of Online Film Critics Society and the Faith & Film Critics Circle, he also writes for Christianity Today Movies and Catholic Exchange."
To give you an idea of the difference between the two approaches, here are Steve's reviews and PluggedIn's reviews:
Spirited Away by Decent Films
Spirited Away by PluggedIn
Here are some more Decent Films reviews you might be interested in if you like Miyazaki.
Kiki's Deliver Service by Decent Films
My Neighbor Totoro by Decent Films