Preheat your oven to 350°F (175°C) and line a baking sheet with parchment paper.
In a large mixing bowl, cream the softened butter and powdered sugar together until light and fluffy, about 3-4 minutes.
Add the vanilla extract and peppermint extract to the butter mixture, mixing until well combined.
In another bowl, whisk together the flour, cocoa powder, and salt. Gradually add this dry mixture to the wet ingredients, mixing until just combined.
Fold in the semi-sweet chocolate chips and crushed peppermint candies, ensuring they are evenly distributed throughout the dough.
Use a tablespoon to scoop out portions of dough and roll them into small balls (about 1 inch in diameter). Place them on the prepared baking sheet, spaced about 2 inches apart.
Bake in the preheated oven for 10-12 minutes. The cookies will look slightly soft when they come out but will firm up as they cool.
Allow the cookies to cool on the baking sheet for about 5 minutes before transferring them to a wire rack to cool completely.
Once cooled, dust the cookies generously with additional powdered sugar for that snowy effect.