wondering if there's any stories that have a non-binary protagonist, if there's none just ...

maybe
http://www.mangago.me/read-manga/fukakai_na_boku_no_subete_o/

This one's my fave:
http://www.mangago.me/read-manga/smells_like_green_spirit/

more:
http://www.mangago.me/read-manga/shimanami_tasogare/
http://www.mangago.me/read-manga/yuureitou/
http://www.mangago.me/read-manga/kono_koi_ni_mirai_wa_nai/
http://www.mangago.me/read-manga/family_compo/
http://www.mangago.me/read-manga/himegoto_juukyuusai_no_seifuku/
http://www.mangago.me/read-manga/udagawachou_de_mattete_yo/

Haven’t read it yet but I think it is. Wish there were more out there :/

http://www.mangago.me/read-manga/seibetsu_mona_lisa_no_kimi_e/