There is the story of 'Little Red Riding Hood'. A little girl goes to visit her grandmother in the woods. She meets a wolf on the way. It warns kids about talking to strangers. The story has different versions with different endings which can be fun to explore.
One interesting story for kids is 'The Tortoise and the Hare'. The hare is very fast but overconfident. He takes a nap during the race while the slow but steady tortoise keeps going and wins the race. It teaches kids about the value of perseverance.