There are a variety of places online that offer printable materials for teaching Bible stories to children, including websites such as Short-Story-Time, UB David and I'll B Jonathan Inc. and Sharon Ministries. The materials include activity sheets, quizzes, coloring papers, corresponding Bible verses for the lessons as well as Bible stories that are written for younger children.
The Short-Story-Time website provides a variety of free printable Bible study lessons, including puzzles, mazes, activity sheets and quizzes. The lessons are designed for parents, homeschooling parents and Sunday school teachers. The site makes it easy to find stories by age or category with the links listed on the main page.
The Sharon Ministries website provides several links to Bible stories that are appropriate for children. The stories can be printed out and offer a short summary of the story that children can understand.
The UB David and I'll B Jonathan website offers material for Bible exploration geared towards children, teens and adults. The links on the page provide access to a Flash video that plays online, can be downloaded to MP4 format or converted to a PDF file with the text of the story for printing purposes. The stories include Noah and the Ark, the Ten Commandments, Joseph in Egypt and many others. Each story has a quiz link that can be taken online or printed to take in a classroom environment.