There exists a wide range of secular Christmas stories, told in popular music, on television, and in the cinema, that are told about the Christian holiday of Christmas, that may be based on or allegorize the biblical Christian mythology of Christmas, as the birth of Jesus, but not necessarily. The stories may also have newer interpretations and introduce new characters (such as Rudolf the reindeer). These secular Christmas stories could be classified as mythopoeia (invented mythology), or Christian allegories.
Santa Claus is the English name for the Christian Saint Nicholas, secularized in popular culture as an old man with supernatural powers living at the North Pole, much like magic and powerful characters in mythology: Santa Claus has supernatural powers and uses them to magnanimously deliver gifts to children around the world. Santa was based on the legends of Saint Nicholas. Santa was given an amplified mythological identity in the Clement Moore poem A Visit from St. Nicholas (the title of which is often misidentified as Twas The Night Before Christmas.) Comparative mythologies have also noted the ancient Germanic myths of Thor driving a cart led by goats in the sky (which led to the folklore of the Yule Goat) is like Santa driving a sleigh led by reindeers in the sky, so think Santa may stem from both Christian and pre-Christian Germanic mythology.
In the 1950s, several Christmas cartoons emerged that deliberately adopt elements of Christian stories to convey the "true meaning of Christmas" in allegorical terms.
An early film, Rudolph the Red-Nosed Reindeer (TV special) based on a Gene Autry song, involved a rejected and mocked reindeer that ends up leading the other reindeer through the help of a misfit elf and misfit toys.