She's only just moved from me reading her picture books to reading her chapter books. I've found it quite hard to come up with things that appeal to her, but thanks to some great suggestions on here I've had huge success with:
Princess Mirror-Belle stories
Clever Polly and the Stupid Wolf
George's Marvellous Medicine (Roald Dahl although she doesn't like any of his other books)
Arabel's Raven
Pinnocchio
All the Amelia Jane stories
She generally seems to favour books which are quite funny and a little bit surreal / magical. She hasn't liked any of the Animal Ark type stories, nor the Magic Unicorn / fairy type books.
I'd love some new suggestions. I've just started an Ottoline book by Chris Riddell but she's not too impressed so far!