We could also categorize them based on the characters. There are tales centered around heroic characters like the prince in 'Cinderella'. There are also stories about the underdog, like 'The Ugly Duckling'. By categorizing in this way, we can see how different types of characters are used to convey different messages in these fairy tales and old stories.
Another way is to categorize by the setting. Some are set in magical kingdoms like 'Snow White' with its enchanted forest and castle. Others may be set in more ordinary, rural settings like many traditional folktales. For instance, some old stories might be about a poor farmer's son who goes on an adventure in the nearby woods. This kind of categorization helps us understand the different worlds that these stories create.