Since we don't have a clear definition of what these 'left and right Christmas stories' are, it's difficult to give exact examples. But if we assume that 'left' and 'right' refer to different ways of looking at Christmas, for instance, a 'left -leaning' story could be about a community coming together to share Christmas, regardless of differences, emphasizing equality. A 'right -leaning' story (in a very broad sense) might be about a family's heirloom Christmas traditions that they uphold strictly. But this is all just guesswork.
Sorry, without knowing more about these 'left and right Christmas stories', I can't really share specific examples. It could be that they are some unique tales from a particular region or a creative writer's imagination.
I'm afraid I can't offer examples from the 'left and right Christmas stories' as we have no information about their origin or content. They could be stories about different political stances during Christmas (although that's an odd concept), or perhaps about different areas in a town during Christmas. Maybe one side of the town ('left') has a story of a magical Christmas tree that brings good luck, and the other side ('right') has a story about a kind Santa - like figure who helps the poor. But this is pure speculation.