Well, in 'A Christmas Story', Randy sleeping is part of the overall narrative. The movie is all about the family's Christmas experience, and Randy is a key member of that family. His sleeping images could be there to emphasize the normalcy and routine within the family during the holiday season. It also gives a contrast to the more exciting parts of the story, like Ralphie's quest for the BB gun. By showing Randy sleeping, it shows that not everything in the family is centered around the big Christmas wish. It's also a way to show the different personalities in the family. Randy seems to be a more laid - back character compared to Ralphie, and his sleeping images can convey that.
You might try searching on official movie websites or fan sites dedicated to 'A Christmas Story'. Sometimes they have galleries with various images from the movie, including ones of Randy sleeping.
One memorable image could be Randy all bundled up in his winter clothes, looking really puffy. It shows how kids were dressed in that era during winter.
One memorable image is Randy all bundled up in his winter clothes, looking like a little snowball. It really shows how kids were dressed in that era for the cold weather.