Most anime is pretty bad, but I don't mind the childish action stuff. Dragon Ball Z was really a turning point in the way anime was designed, but you can still find some really hard hitting stuff from time to time.

Movie wise there is some stuff to work with: Akira, Ghost in the Shell, and a lot of the Studio Ghibli films (Princess Mononoke, Spirited Away, etc.).

In terms of anime I'm not sure I can even recommend much. I mean I feel like Klein would suggest Madoka Magica (or as I like to call it the "living incarnation of don't judge a book by it's cover") the anime starts out innocent, but completely evolves. Another anime that we actually attempted to watch before was Psycho Pass (I never got around to watching all of it, but that is for a lack of time not a lack of trying). Samurai Champloo is among my favorite anime's of all-time its just a real piece of artwork (A good portion of the music was produced by Nujabes). I don't know how you feel about comedy, but they made a hilarious parody of these generic battle type animes called One-Punch Man it was a huge hit, and I couldn't help laugh at the entire piece. Something that came out really recently that I haven't done much research on is: Erased

Most of the anime series I listed can be found on Hulu/Netflix I believe. Hulu actually has a really wide selection of anime tbh. In terms of the movies I suggested you probably wouldn't be able to find those on either service. The Ghibli films are actually a bit elusive.

Well, that's all I've got.