The Egermeier's Bible Story Book is a classic of its kind. Originally published in 1922, it was revised in 1963 and continues to be used as a primer for young elementary kids to the scope of stories in the Bible from Genesis to Revelation. There are 312 stories in all, engagingly written and thorough in treatment of the original texts which are always referenced at the beginning of each section. This volume is probably the most comprehensive we've seen, with stories covering Job, the inter-Testamental period, and more. 121 full-color, full-page pictures by Clive Uptton illustrate.
A number of questions with answers in the back test kids' retention. While there is no specific doctrinal emphasis, the author does tend to pietize some of the stories by extrapolating meanings that are not necessarily in the original text. This is probably best suited for kids grades K-3, though most won't be able to read the stories on their own till around 2nd grade. Despite the occasional moralistic tone, this is a good introduction to the sweep of biblical history through its major (and some minor) events.