It's hard to choose, but here are the best anime movies of all time and where to stream them, including 'Spirited Away,' 'Akira,' and lesser-known classics. Spirited Away is the most popular anime movie of all time. Akira is the best anime movie of it's era. Grave of the fire flies is the best emotional anti war anime of all time. My personal favorite is wolf children. But Howl's Moving Castle, is . Top Anime Movies List The Best Anime movies of all time are compiled by Anime movie ratings and member movie lists. The Best Anime movies are .