Your dd sounds just like my dd, 6. She just brought Guardians of Ga'Hoole home from the library. She just finished reading Fire Within, a series about dragons. There's a 10yo girl character. Before that, Charlotte's Web.

Other animal/mythical creature books:
Five Children and It
The Trumpet of the Swan
Magician's Elephant
Edward Tulane-- really anything by Kate DiCamillo
Wonderstruck (one of the main characters is a girl)
Betsy Tacy series (100 years old, about the enduring friendship of two girls, starting at about age 6)
The Penderwicks-- about 3 sisters
The Mysterious Benedict Society has interesting girl characters
Island of the Blue Dolphin

ETA:
The Secret Zoo is about a young girl and zoo animals (we have, but haven't read yet)
A Dolphin Named Bob


Last edited by syoblrig; 01/12/13 10:36 AM.