I love Elizabeth Enright books for that age. Thimble Summer is my favorite one, but she also wrote the Melendy Quartet (four books about the Melendy family) and Gone Away Lake. I second the vote for the Betsy-Tacy books, mentioned above. Also Lois Lenski books, and Baby Island by Carol Ryrie Brink is a lot of fun. All-of-a-Kind Family is wonderful for this age. My middle daughter, who is the type who would escape to the forest if she could, liked the My Side of the Mountain books, about a boy who left home and lived in the forest independently. I also recall her reading a series about a girl who pretended to be a boy and lived in the forest. Rowan Hood, maybe?
I’m not a huge fan of the Ramona books, but a Beverly Cleary book we enjoy is Emily’s Runaway Imagination.
I adore the Freddy the Pig series and there are tons of them, but they have sort of an odd sense of humor that not everyone would find appealing, I think. I didn’t know of them when my older two were young, but I’ve read several to my 6yo and sometimes we laugh so hard at them we cry. Other animal books we love are many of the books by Dick King Smith, like Babe the Gallant Pig, Pigs Might Fly, etc. They would probably be easy in reading level for your daughter but in story they’re great for any age, imho.
I tend to enjoy books with an “older” feel to them, so most of these might feel sort of irrelevant to readers who enjoy a more “current” or fast-paced feel. I’ve probably missed out on a lot of good books for this age because I’m drawn towards books published before 1950 or so. Bwa ha! I remember my oldest daughter at this age liking a series called Unicorns of Balinor, but I never read them and suspect they may be a bit twaddly.
One of my all-time favorite books for any age is Danny, the Champion of the World, by Roald Dahl. It’s less dark than many of his other books and I just adore it. I read it repeatedly as a kid.
Okay, I’ll stop here before I get even more obsessive! This is one of my favorite topics because I love reading aloud to this age group.