In a large bowl, mix together the butter and the powdered sugar. In a small bowl, melt the baking chocolate in the microwave. Stir in the Peppermint Extract. Add the melted chocolate mixture to the butter mixture bowl. Add in the flour and stir well.

Take a tablespoon or two of the dough in your hands and shape into balls. Flatten them slightly before placing on a greased cookie sheet. Bake the cookies at 350 degrees for about 8 minutes. Let the cookies cool before removing them from the cookie sheet. Cool completely before adding the icing and drizzle.

In a medium sized bowl, melt the butter. Stir in the powdered sugar, milk, and peppermint extract and mix until frosting is creamy and smooth. Add in a drop or two of green food coloring and mix until the color is combined. Use the frosting the frost cooled cookies.

For an extra drizzle, melt a handful of chocolate chips in a small bowl, use a spoon to drizzle the melted chocolate over the finished cookies.