Old but goodie

Damn, you beat me to it. Mushi Shi is an unfinished masterpiece and severely underrated. I had some I wanted to add to this list, but honestly some have blood and such which I don't know exactly what you'd want for an early teens daughter. I would have recommended Delicious in Dungeon, but there are some dismemberment scenes and it sort of downplays death, as you can and can't die in the dungeon. Lemme try to see what I can dig up from my history though.

• Kimi ni Todoke - It is romance, but its so fluffy and goes lightly into what bullying can do to people as well as showing that people are not always who they seem on the outside. Touches on judging others, but remains extremely lighthearted.
• Saiki K - One of the few anime that has made me legitimately laugh. It's nonsensical and good for most ages. I'm usually a romance buff, but this one drew me in when I curiously watched the first episode.
• Spice and Wolf - I watched the original and started the remake. I think either should be fine. Great adventure story with a bit of romance.
• Ballroom Youkoso - So this will fall a bit into the unhealthy relationships. I can't remember if there was any nudity, but it does stem from the viewpoint of a hormonal teenage boy. However, the art of the dancing is absolutely stunning. Just beware the necks. Iirc, there are crazy long necks in this one, lol.
• Yuri on Ice - Similar to Ballroom Youkoso, but has a bit of an unhealthy relationship as a side story, iirc. I haven't seen it all, just a bit of it and can't remember much. I really enjoyed the skating scenes, which are very similar to the dancing scenes in Ballroom. It is a boys' love, but that's not the main point of the anime.
• Spy x Family - Haven't seen it all, but what I have seen is great and seems good for younger generations.
• Arakawa Under the Bridge - Okay, this may be a bit much at times, but damn if its not hilarious and mysterious. There is some non-showy nudity, I think, but its more like bathing and such, nothing extreme.
• Dr. Stone - This should be all around a good pick for multiple ages. Apocalyptic scenario with reinventing the wheel as the theme.
• Cells at Work! - Another one I've seen little of, but it was pretty good and teaches a fair bit about the internal human anatomy.
• Silver Spoon - Anime based around farming. It's a happy little anime with a bit of serious undertones for the background of the characters. Made by the creator of Full Metal Alchemist. I would also recommend FMA, but there may be some parts of that anime that could be a bit scary for younger teens.
• Komi Can't Communicate - Another good romance base. It starts around misunderstandings and the fear of speaking in public, but devolves later into just a regular slapstick romcom. However, that's mostly in the manga where it goes far beyond the anime.
• My Hero Academia - I did get into this for a bit, but it sorta fell off my radar for no particular reason.
• Frieren: Journey's End - Have not watched all of this, but the first 3 episodes were amazing and the story is endearing as well as very emotional. A great adventure with a touch of tragedy, but it seems well recommended for all ages.

I have many more, but I have watched a disgusting amount of anime and can't remember everything. I've been watching anime and reading manga since 2006, lol. Please, anyone correct me on any of these. My memory is hazy, especially when it comes to older anime I watched a long time ago.