My family is currently Miyazaki-mad! We've been picking up his movies on DVD for the last few months. My kids love them, my wife loves them, and so do I. Unlike most other kids/animated movies my kids want to watch, I don't hate these movies after seeing them a dozen times or more. I enjoy them just as much, or more, and the stories and messages are so much better than what you find in typical Disney films.

I put links to them (in no particular order) in the left column of my site so you can read more about them... Princess Mononoke, Nausicaa of the Valley of the Wind, Spirited Away, Kiki's Delivery Service, Porco Rosso, Castle in the Sky, The Cat Returns

We haven't got My Neighbour Totoro yet, because my brother-in-law has it. We've been watching that one since I was in high-school. Cyan absolutely adors Totoro and its wonderful girl lead characters. Xavier's got a big crush on Kiki. :-)