Some good Bible stories for preschoolers are "The Great Flood", "David Kills Goliath", "Jonah and the Whale" and "The Lions' Den." These stories are from the Old Testament of the Bible.
The story of "The Great Flood" is found in the Old Testament book of Genesis 6. This story is about God sending a flood to wipe out the earth but sparing Noah and his family. In the Bible, God commanded Noah to build a great ark and fill the ark with all of the world's creatures.
The story of David killing Goliath is found in the biblical book First Samuel 17. In the Bible, David, a small boy, killed the mightiest soldier of the Philistine army, Goliath, and helped secure victory for the kingdom of Israel.
The story of "Jonah and the Whale" is found in the Biblical book of Jonah. In the Christian story, God told Jonah to preach his word to the people of Ninevah, but Jonah attempted to run away and was swallowed by a whale. Jonah lived in the whale for three days and was finally released. He then went to preach at Nineveh.
The story of "The Lions' Den" can be found in the Biblical book of Daniel. According to the Bible, Daniel was thrown in the lions' den by King Darius but survived because of God's mercy.