This an awesome question! before I give you my ideas, do remember that reading TOO your child is what is important too, so even if the book is slightly old for her, it's ok, as long as she isn't bored. It might take the actual reading a bit longer because she may have questions or you might want to explain something in the story, but I say go for it. Kids just love being read to, as long someone is spending time with them. And as an added bonus, reading helps with literacy skills once they are in school Good job for incorporating reading into your lives.
Also, I'd go the library sometimes and just let her pick out the books occasionallly too. Have fun and keep reading! Isn't 5 fun?
Here are my suggestions:
1. The Ramona Quimby books. Start with the books that have Ramona in kindergarten (she ages trough the series)> Google the books or ask the librarian about them.
2. The Little Prince by Antoine De Saint-Exupery. This not a chapter, it's just one long story, but could be broken up into two or three nights or reading.
3. Peter Pan by Sir J.M. Barrie.
4. Wind in the Willows by Grahame. I believe there are other books in this series, but this series, but this is the only onr I own.
5. The Frog and Toad series. Can't remember the author.
6. Where the Sidewalk Ends, by Shel Silverstein. Again, not a chapter book, but instead a fun book of poetry aimed at young children, and promises to elicit a giggle from everyone!
7. Trumpet of the Swan or Stuart Little by E.B. White.
8. Bonjour Babar. He might be a little old for this series, but I enjoyed all through 1st grade. While not a true chapter book, each book is like a chapter in the series. The stories are about a group of French elephants, with mom and Dad being kind and queen of the monarchy. I think there are 6or 7, maybe 8 books in each series, sac one in a new stories. You can read these much like a chapter book---one Babar story each night until done. And they are written in such a way that your so might be able to help you read.The author is Jean du Brunhoff.