Among anime films I liked the Studio Ghibli works the best. Especially Princess Mononoke, Grave of the Fireflies and Only Yesterday. After watching the subbed version I would have to put Spirited Away in that category. Among non-Ghibli films I liked Jin-Roh the best.
“I really liked Princess Mononoke, and look forward to seeing other films by this guy- I guess Disney owns US distribution, and they just released a few of his films.”
You should note that many of Miyazaki’s films are unlike Mononoke and are aimed more at children. They are still wonderful films but don’t expect to see something like Mononoke when you watch Kiki’s Delivery Service. The one other Miyazaki film which is similar to Mononoke is Nausicaa though there is no US release.
I haven’t seen too many serials but I liked Cowboy Bebop and Crest of the Stars. I liked most of Evangelion but not the last two episodes or the movies.