These may be for the next round, after the excellent suggestions above (DD9 just read them last year, but I don't keep track of lexile levels or reading levels, for that matter)--
Forester, "The Girl Who Could Fly" (like X-men as kids)
Georgia Byng, Molly Moon series
Pippi Longstocking (!!) but you may remember it is a little
ridiculous (she can lift a horse with one hand or something; sorry I can't remember)
the Narnia series had Lucy and Susan, although IIRC much of the action focused on boys and there might have been some slightly old fashioned stereotypic stuff
Anne of Green Gables??
LITTLE HOUSE ON THE PRAIRIE!!! (but you might want to skip the second book, Farmer Boy, which you may remember is very interesting but about Almanzo's childhood and full of neat details about how they made stuff back then--cool to me now, but kind of boring for DD)
Also, not what you asked for, but DD's friends last year were enjoying the Warriors series (about cats). I thought it was pretty violent but the kids all seemed to love it (especially the girls). And a great lead-in to the Hunger Games, in case your DD picks it up off the coffee table where DH had left it and gets halfway through before you notice! :0
(fortunately DD is pretty resistant to getting upset about violence, but I know a lot of kids do get bothered, so maybe you should browse through the Warriors if you're thinking about letting your DD read one).
Last edited by Dbat; 01/12/13 04:02 PM.