Yummy by Lucy Cousins. Yes, the creator of the Maisy books has a fantastic collection of your favorite stories, complete with her illustrations. A great introduction for younger ones to some of these tales.
Borreguita and the Coyote by Verna Aardema. This tale from Mexico follows a clever little sheep as she tries to elude the coyote intent to have her for dinner.
Lon Po Po: A Red-Riding Hood Story from China by Ed Young. When Mom goes to visit Grandma, a hungry wolf pretends to be the Grandma to trick the three little girls left behind.