Spirited Away is a great movie, in general. As is most of Studio Ghibli's stuff.Cowboy Bebop is my favourite anime series. Great characters, a fantastic unforgettable soundtrack, and great action sequences. Does a splendid job weaving in philosophical themes into its narrative.
Favourite anime movie is probably Spirited Away. Great journey where style is utilized as substance in many cases, proving that they are not mutually exclusive. The world building accomplished in just two hours is incredible as well, and you can't forget the brilliant soundtrack.