I have read very little manga, and my fondness for anime is pretty limited. I enjoyed Maison Ikkoku in college. I appreciated most of the Ghibli stuff I've seen, even if I didn't always just fall head over heels in love with it, and I've been enjoying Delicious in Dungeon recently, as I think it's perfectly suited to the sort of derivative yet bonkers formulas in so much anime I've sampled. I reckon I'd probably like One Piece, but I've never just sat down with it. I don't care for Dragon Ball Z or the Magical Girl Team stuff my daughter likes, and I have no interest in the stylized hyper-violence so many shows seem to exist to portray.
I don't know, maybe I'm just too up my own western ass, but the story beats and how emotions are portrayed just never really resonated with me. It's hard to explain. I don't dislike all anime, but relatively little of it works for me. I do, however, like a lot of western animation with clear influences from anime and manga. I guess I can appreciate it in the same way some filmmakers are "directors' directors" and some musical artists are "songwriters' songwriters." I'm glad people find it compelling and inspirational, but I find I need some of those influences to get syncretized and remixed with other stuff before I "get it."
TL;DR: Not really, but it's not you, anime, it's me!