This is one of my all time favorite movies, hands down. I'm not the biggest fan of anime either.
First thing I would like to say is it's not an action, fast paced, giant robots fighting everywhere movie. A majority of the movie is the characters trying to discover the mystery and the intention behind a terrorist bombing of the Yokohama Bay Bridge.
The only action scenes is one briefly at the beginning and the end.
The animation is among the best I've ever seen, and the English voice acting is stellar compared to most dubs. The voice acting isn't exaggerated as with many anime, for example, the girl characters don't have forced high pitched voices many anime dubs seem to have. They talk more like normal actors or everyday people would. I actually prefer to watch it in English.
If your into movies about politics and terrorism this would be your movie. If your into movies that aren't full of action this would also be your movie.
The whole movie is a piece of art in it's own way, anyone can enjoy it.