https://myanimelist.net/anime/164/Mononoke_Hime - by far my favorite of Miyazaki Hayao's films
https://myanimelist.net/anime/19/Monster - a complex thriller set in Germany after the fall of the Berlin Wall
https://myanimelist.net/anime/1827/Seirei_no_Moribito - an excellent supernatural adventure story
https://myanimelist.net/anime/2164/Dennou_Coil - kids inhabit a virtual world visible only with special glasses; now available on Netflix as "Den-noh Coil"
https://myanimelist.net/anime/35838/...uumatsu_Ryokou - two girls wander a post-apocalyptic world; on Amazon Prime; don't let its premise dissuade you
https://myanimelist.net/anime/37965/...uyoku_Fuiteiru - ten college guys team up to win a famous inter-collegiate Japanese relay race
Click on "MAL List" in my signature for more suggestions.