Whisper of the heart is another low-key Ghibli film. very down to earth. Not a fantasy or action type film. worth a look if you like ghibli. Worth noting too, that The Cat Returns is based on a dream sequence in Whisper (and the only non-reality based part of the movie.)
Another one, if you can find it, is Grave Of The Fireflies. based on a true story and very, very sad. but also very good. it was originally released many many years ago by Central Park Media which is now defunct. dunno who has it now, but may be able to find it. The dubbing (though there isn't that much dialogue in the film) was done with New York VAs not the Los Angeles ones disney uses, but is very different from their usual stuff (like Pokemon, slayers, YuGiOh etc) very well done.
(actually, looking on youtube, if you search for grave, the first result is the full movie. not dvd quality, but serviceable)
My all time favorite though is still Kiki's delivery service.
"The reason an author needs to know the rules of grammar isn't so he or she never breaks them, but so the author knows how to break them."