Frog on a Log? by Kes Gray and Jim Field is a story that has a lot of fun with rhyme. Let me show you a few pages.
This book has a cute ending and can start you playing the rhyming game with your child. A couple of the animals don't exactly rhyme with where they sit, but the author is from Great Britain so accents must be taken in to account.
Read to a child today even if that child is you.