These are all books for when she’s older, and I don’t know that any of them should be required reading, but I do think you ought to have them around for her to read.
Most of Norma Fox Mazer’s stuff, but especially After the Rain. (There is one “damn” in it, which is an issue for some folks. If it bothers you, it’s in a context where you can white it out without affecting the story at all.)
Pretty much anything by Louis Sachar.
The Enchanted Forest Chronicles by Patricia C. Wrede–absolutely hilarious, packed with millions of allusions to classic fairy tales, nursery rhymes, and children’s stories. Some of them are so subtle I didn’t catch them until the fourth reading or so. Besides, I think it’s good for little girls to read about smart, strong, independent women who do more than sit around waiting for some guy to come bail them out.
Robin McKinley’s Beauty: A Retelling of the Beauty and the Beast is a good one, too. I think someone at Disney must have really liked this book, because Belle is a whole, whole lot like Beauty, and a lot of the imagery is very similar. And I loved The Hero and the Crown.
Summer of the Monkeys is a wonderful book, and every child should read it or have it read to them. It’s by Wilson Rawls, but isn’t so horribly depressing as his better-known Where the Red Fern Grows. This one is funnier, and the not-so-funny parts are more poignant than heart-rendingly sad.
The Believers by Janice Holt Giles. You’ll probably have to get it from the library or find it used on Amazon, since it’s rarely in print, but it’s well worth the hunt, as is Hannah Fowler.