Anime & Donghua

Age appropriate I'd also suggest

Also, Link Click. Just the first season. Chinese 'time'??? travel donghua about two young men who can travel into photographs and use it to solve mysteries and personal troubles of people who come to the photography shop

Wolf Children the movie is also a really touching coming-of-age story about a pair of twins making their own way in the world. Mamoru Hosodas stuff is often overlooked for the more showy Makoto Shinkai stuff and GOAT Miyazaki, but other users in this thread have already suggested summer wars so if she likes it, she's very likely to enjoy his other stuff

I always recommend Mushi-shi because it's the least problematic anime I've ever seen lol. Very touching stories of people dealing with weird little spirit things and a guy that helps them out.

Ranking of kings!! you've gotta add it to your list

Mob Psycho 100. Someone who likes normal shounen (Aca, Naruto) and also Dandadan would probably love Mob Psycho, and it's the first anime I'd recommend to someone her age generally. Also probably the first anime I'd recommend to someone generally after I rewatched Erased and realized how weird some of it is . . . not half as bad as Dandadan but that's not the benchmark we should be using.

If you take anything from me, take Mob Psycho, but if you want a couple that I'm pretty confident no one else will mention: Blood Battle Blockade and Akudama Drive. They occupy basically the same space in my head as extremely goofy action shows that look way better than they have a right to, though she's more likely to like BBB because it's closer to conventional shounen and honestly it's probably the better one anyway. BBB is a sort of whimsical fantasy thing that I don't even remember the premise of but iAkudama Drive is like a slightly edgy sci fi Ocean's 11 where a bunch of super-criminals get together to do a heist.

Also it'd be super weird to me if she didn't like Fullmetal Alchemist: Brotherhood, but maybe that's because I haven't properly updated how I think of it for a decade, since a lot of people apparently don't even care about Naruto anymore. Back when I knew other people who like anime (when I was in school), FMA:B was still in an uncontested years-long reign at the top of MyAnimeList's rankings (it's somehow still at #2!!) and it would be freakish to see a teenage girl who likes anime but doesn't like FMA:B. I also love it, for the record, probably third after MP100 and Hunter X Hunter (which it's possible she'd like, but it starts super slowly, mostly not filler and instead actually laying groundwork, but also a little bit of filler).

That's really cool you're doing that with your daughter! Thanks for asking this too, there are good lists here.

Shinsekai yori is my favorite anime and I would consider it leftist too! There are some mentions of SA though so fair warning

I really inly warxh Gundam and Nichijou and dont know much about anime but id recommend Nichijou to anyone. It's...an absurdist sketch show with a storyline...tough one to describe without watching cause its really got its own thing going on. Its really funny and super wholesome

Dorohedoro. Uh, it is a kind of post apocalyptic show which follows a man with a lizard head that is searching for the mage who gave him a lizard head by putting their entire head in his mouth to see if the man inside it can recognise them. Don’t think anyone suggested that one.