DD is fully bilingual French-English and is in CE1 (goes to a French school).
We live in the UK (I'm not French, DH is), and we borrow lots of books from the local library, and I buy her books I remember enjoying as a child.
We are members of the French Institute Children's Library, but I find their collection quite limited. I'm happy to buy books for her, but so far it's been a bit hit and miss. And, DH isn't much use as he didn't really enjoy reading at her age!
So far, the hits we've had with DD include: Tom Tom et Nana, Max et Lili, Le Chat Assassin (Anne Fine), Le Petit Nicolas (the easy to read version), and I think that's it! She's still a bit wary of reading any book without pictures and loves BDs.
Any suggestions?