There is so many I like, it's gonna be difficult to pick a few ones...
My favorite animes definitely includes :
- Mushishi (I agree it's like visual, meditative poetry)
- xxxHolic (The anime rather than the manga that gets overly complicated with Tsubasa chronicle cross overs)
- Kino no Tabi (It's kind of a philosophical road trip and Kino the main character definitively has some non binary vibe going on, maybe aro/ace also)
- Seirei no moribito (Balsa, the main protagonist is a strong older female, she's so cool !)
(Yeah, between Ginko, Yuko, Kino and Balsa I think I do have a certain taste for strong mysterious characters...)
I also really like both the anime and manga of Demi-chan no kataritai ( a slice of life about a group of special girls in a high school and their teacher) , Detroit metal city (about a guy who is torn between his two identities : a mellow swedish pop lover and a death metal rock star ; the humor is kind of peculiar but I still like it a lot) and Nodame Cantabile (about two music college students, really funny and the music is really good)
Manga wise :
- Anything by Nakamura Asumiko, her art is really gorgeous and her stories are all so good
- Otoyomegari by Kaoru Mori, maybe one of the most (if not the most) gorgeous and detailed art in manga I've ever seen; it's set in 19th century en Central Asia
- Subarashii Sekai by Asano Inio, It's a series of oneshots, I think it's a masterpiece of a certain kind of smiling melancholy
- Bannouji by Aki Eda, a really sweet slow paced slice of life romance with somewhat unconventional characters and good humor
- A whole buch of good yaoi ...
And cartoon wise : Steven universe, Avatar and Korra, Samuraï Jack, Gravity falls...
(I aslo have a deep love for underrated western animated movies and webcomics but that would be slightly off topic I guess)