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.

No Hero Academia

That's funny. It's actually My Hero Academia, unless she told you the romanised Japanese title, which is "Boku no Hero Academia," but "no" doesn't mean like "zero" here, it means "of" or similar article; Boku is "My" but masculine, so "Boku no Hero Academia" means "my hero academy," from a boy's perspective. Because the main guy (also the narrator) is a guy. You could say "Watashi no Hero Academia" which would mean "My Hero Academy" from a feminine perspective, or you could say Watashitachi no Hero Academia, which would be "Our Hero Academy." So ironically a girl saying "Boku no Hero Academia" only works as it's a title; typically, a girl wouldn't use Boku though, which makes the English name more inclusive. /languagenerd

Demon Slayer is a good one. If you like girl-empowering stories for her that lack fan service, The Promised Neverland is a good shonen (young men targeted) action series that stars an 11-year-old girl who is going up against adults to save her 36 adoptive brothers and sisters from something revealed at the end of the first episode. There's some bad stuff here, but it would be PG-13 in the US, and not even a hard PG-13. Like PG-13 horror, people die, but it's mostly off-camera and implied.

Not action, but I'm also a big fan of Erased and Your Lie in April. Sometimes it's good to break up an action series with a slice-of-life series. When we talk about TV shows with the best endings, Six Feet Under is constantly brought up as it pretty much has, objectively, the best ending to a TV series, ever. Well, for live-action acted shows (as opposed to animation). For animation... it's pretty much Your Lie in April. YLiA is the 6FU of anime. A deep emotional investment that leads to an awesome payoff. Awesome in its original definition, not necessarily the first definition you think of. Because that ending was certainly awe-inspiring... in kind of the same way a nuclear mushroom cloud inspires awe. Not so good for those caught in it though. But awe-inspiring from where you sit. Both of those shows ended like that. The kind of ending that makes you turn off the TV, get up, and go outside and touch grass.

I don't know anything about it myself, but my partner and her mother watched an anime called Fruits Basket together, and it was something they bonded quite a lot over when my partner was about the same age as your daughter