Children's Stories Linked:
Here is an interesting site:
Pick the short children's story and some have the option of reading it to you.
A blog with short children's stories: http://www.historiettes.fr/25/
Chez Lorry's children stories: http://chezlorry.ca/histoires.htm
That should get you started. Search "histoires enfants" and you will enter the French speaking world of children's short stories.