Comic Strips

Girls Under Panzer put all the fan service into a separate series of short (under 5 mins) OVAs, so it's avoidable but does exist ...

Frieren is very violent. Amazing show, but definitely not for kids.

Bocchi has exactly one fanservice gag I can recall, but it's a fairly tame one. Probably fine, the whole rest of the show has nothing else inappropriate I can think of. It is sub-only though, so I guess it really depends on whether she's fine with reading subtitles?

Delicious in Dungeon, some violence but nothing gory, compared to Frieren I don't think it's too much.

I haven't seen the other one that was mentioned so I can't speak for it.

Honestly I'd say it depends on your daughter and what you think she can handle. I'm not a parent, so it's hard for me to judge. Maybe screen a few episodes for yourself and decide what you think is appropriate?

Edit: Though just to add one more nomination for you, Little Witch Academia immediately comes to mind as a show I think would be absolutely perfect for that age.

My 11 year old sister's recommendation for 11 year old girls: Sk8 the Infinity

It's a campy sports anime about an underground skateboarding gang where people skate "to the death" (nobody dies).

It's on Crunchyroll or wherever you get your anime ;)

If she has creative passions, she might love Hands Off My Eizouken. It's a show about 3 high school girls who start their own anime club, and work on making a short animation for their first project. The girls are all just girls, weird fun gremlins, whacky passionate kids who want to make something cool together. I can't remember anything problematic, they even managed to avoid sexualizing a bath episode, but you should screen it first obviously.

Bocchi would be great for any kid who has had or does have trouble fitting in due to being quirky or different, and has a similar premise of girls getting together to be creative but a different (but also good) vibe.

Agreeing with the other posters that Frieren wouldn't be a good choice yet. Delicious in Dungeon might be, but that would be kid dependent and another you would want to screen first to see how you think she'd take it. The tone is mostly light and goofy but there are definitely some scary moments in there.

Missingno mentioned Little Witch Academia and I would absolutely second that, it's cute and wholesome and definitely appropriate for kids

I mentioned it above, but i think you should check out "campfire cooking in a strange world with my unique skill." There's some monster violence but no people get hurt, for what that's worth. Overall, thematically, it's very light and comedic. There might be a few curse words but nothing crazy i don't think..

i wasn't watching it with the lens of how it would be for children so your mileage may vary, but it was very light-hearted and silly.

As an enjoyer of non-fanservice Animé, but knowing how different people around the world have different attitudes to appropriateness, I'm going to say that you're going to have to carefully filter any list yourself.

For example, all of Girls Under Panzer is free from fan service / sexualization, (apart from the short OVAs which are nothing but that stuff) ... but some people don't like it's playful attitude to WW2 history.

SuperCub is another series that features zero sexualisation, but contains themes around depression, isolation, and struggling with interpersonal relationships.

Gundam: The Witch from Mercury, again no sexualization but features fighting against patriarchal systems and a love story of lesbanins.

It's possible that none of these are appropriate for your daughter, when I was 11 I would have devoured them and come back for more.

Then there's stuff like Born in Abyss which looks like a cutesy kids adventure but then descends into multiple layers of horror ... so, tread carefully.

Eizouken, absolutely

Vash & Knives have an unhealthy relationship, because of Rem.