The first thing that comes to mind are the Ramona books by Beverly Cleary. There's a few "Ramona", "Ramona the Brave", "Ramona and Her Mother", and a few more. There's also the "Mouse on the Motorcylce" also by Beverly Cleary.
The American Girl series would be age appropriate.
I think the "Bailey School Kids" books are around that reading level. I had one daughter who loved them, the other who only read one book in the series.
Books written by Roland Dahl. Which include "Matilda", "The BFG", and "Charlie and the Chocolate Factory".
There are the "Fudge" books by Judy Blume. If I remember correctly these may be 3rd or 4th grade level.
Definetly below the 5th grade reading level are "The Magic Tree House" series. My daughter who tested at a 12.9 reading level in 5th grade was reading these books in 5th grade. I thought they were great books because she was actually learning facts about science, history, etc. And they were such a quick read, that it brought her great satisfaction that she could sit down and read an entire book in a short period of time.
Neither of my daughters cared for these, but who knows, your daughter my love them are "The Little House on the Prarie" series.
Have fun at the library!