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 ;)

Eizouken, absolutely

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.

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.

And so does Lord of the Rings. It's fantasy, having obviously good people and obviously bad people you kill without remorse is part of the genre.

Why is that sad? The depiction of demons as creatures that are incapable of empathy and exploit human compassion as an evolutionary strategy is interesting and makes for good drama and moral conflicts in the show. I'm honestly tired of the standard plot about demons just being misunderstood poor little babies that humans bully for seemingly no reason. I understand why that is a popular theme - it resonates with most of our own history after all, but it's been done to absolute death.

you dropped this, /s

Frieren reminds me of my readings about the 19th century Texas Rangers (see Cult of Glory (2020) by Doug J. Swanson) and how Native Americans were literally seen as vermin to be exterminated, even if they assisted in exterminating other indigenous. In real life, a lack of communication and 15th century epidemics divided indigenous peoples who could have otherwise defended their sovereignty; once indigenous children learned the conquering host people's language (English) and affirmative action applied to close egregious wealth gaps, indigenous people have proved to be ordinary people with another skin color (evidence: me, a member of the Navajo Nation). Frieren, in contrast, portrays a demon child as being irredeemably evil even though they learn the host language and are given second chances and extra attention (by the Himmel); the author implies there is some cognitive divide due to demons being solitary creatures who raise and teach themselves from a very early age (presumably much earlier than the failed experiment Himmel performed); however, that subtlety isn't emphasized and demons are more akin to starfish aliens than people.

Overall, I think provoking controversy and discussion around this point is valuable because it invites people to debate the nature of Otherness. In which ways can a person be different enough before they stop being people? What exactly are the differences between “person” and “beast”? Is focusing on those differences the root cause of genocide? Do we hesitate to relax the requirements to be considered a person because we dislike the economic consequences? (e.g. the horror of teaching factory farmed animals to speak)

I personally consider demons in Frieren analogous to indigenous before colonizing powers, albeit sustained by their long life spans and tendency to independently discover powerful technology (magic). I doubt the author is thinking very hard along these lines, and so fear they will fall back on tried and true story patterns in which animalistic heathens are purged to make way for civilization. But I hope to be surprised.

I'm going to take a potato chip... AND EAT IT!!1!

Dunno, sounds about right to me.

The one enemy that appears briefly before getting beaten up into oblivion?

I agree that a lot of dark stuff happens in Jojo (heck, the protagonist of the 5th saga is a mafia boss), maybe it's best for mature audiences.