I’ll try to avoid duplicating others’ excellent suggestions. Unless otherwise specified, none of these titles will have gore or excessive violence or inappropriate sexual content. I usually watch the weirder philosophical ones so I don’t know if she’d actually enjoy them, they’re pretty niche. So I’ll just list some that I’d feel comfortable with one of my younger relatives about the same age watching unsupervised.

Eve no Jikan / Time of Eve: a calm and introspective tale about the ethics and impact of AI, told in the form of casual conversations in a laid-back coffee shop.

Serial Experiments Lain: this is deeply high-concept sci-fi. There’s some difficult topics, such as a suicide in the first minute of the first episode and repeated references back to it, and some murders. But it’s never really gory. It’s about a teenage girl who’s extremely neurodivergent-coded exploring her world’s equivalent of the internet, the Wired, and how the Wired is starting to bleed out into the real world. It was made in the mid-1990s but it’s eerily prescient on what humanity really did with 24/7 internet-connected pocket computers. It’s like the 1976 movie Network in that it just keeps getting more relevant with each passing year.

Angel’s Egg: This is a short film that’s more art-for-art’s-sake than a coherent story. But it’s beautiful to watch and listen to.

Arashi no Yoru ni: a movie about a wolf and a sheep becoming friends, and how that friendship earns them the ire of both their peoples. Stock up on tissues. Not just for her, but for anyone in the household who watches it. The cutesy art style hides a deeply serious and sober look at bigotry.

Dirty Pair: an older 1980s franchise, but one that aged pretty well. The adventures of two space cops as they cause a lot more problems than they solve. This is firmly in comedy territory. Don’t let the main characters’ costumes fool you if you google it. Our two leading ladies have agency, personalities, and are never damsels-in-distress or SA victims.

The Girl Who Leapt Through Time: a movie about a high school girl who discovers that she can manipulate time. Slow paced and introspective and melancholic.

Grave of the Fireflies: this is one of the best anti-war movies ever made. It’s the story of a teen boy and his toddler sister trying to survive in WW2 Japan without much help from anyone. It’s not remotely a nationalistic movie, it is scathing of Imperial Japan. It is harrowing. Bring lots and lots of tissues. But I think everyone ought to see it once. Once is probably all you’ll need. You’ll never forget it. Go in blind, be prepared to answer questions on Japan’s actions in WW2.

Gargantia on the Verdurous Planet: the first ten minutes fools you into thinking you’re watching yet another generic “teenage super-pilot of a giant super-robot” war story. Then it reveals what it really is, the story of a child soldier being welcomed by a peaceful community and learning to be a regular human being after they took him in. There’s some PG-13 level violence at times, but for the most part it’s just about a traumatized teen getting the chance to live a normal life with found-family.