I think the OP may be getting a little hung up on his definition of these stories as "religious". If you are not a believer, you might be better thinking of them as "cultural" and reading your child stories from different cultures (folk-tales, fables, fairy-tales, myths etc.) to provide a broader worldview.
I'm sure you can find children's versions of other sacred texts such as the Koran, Talmud, Buddhist texts etc. if you really just want religious stories but the chances are they won't be anywhere near as delightful as fairy-tales and folk-tales.
Last edited by corroonb; 10-09-2012 at 12:10 AM.