In the bowl of your electric mixer or with a hand mixer, beat the butter until smooth and creamy; about 1 minute). Add the sugar and beat until smooth; about 2 minutes. Beat in the vanilla extract. Gently stir in the flour mixture just until incorporated. Flatten the dough into a disk shape, wrap in plastic wrap, and chill the dough for at least an 30 minutes until firm.
Preheat oven to 350 degrees F. Line two baking sheets with parchment paper. On a lightly floured surface roll out the dough into a 1/4 inch thick. Cut into Star or other shapes then place on the prepared baking sheets. Place in the refrigerator for about 10 minutes then Bake for 8 - 10 minutes, or until cookies are very lightly browned. Cool on a wire rack.
To Dip Cookies: When the cookies are cool, place them on a baking sheet lined with parchment paper. Place 3 ounces of the chocolate in a glass bowl and microwave on high power for 30 seconds;Stir, continue to heat, stirring in 30-second increments until the chocolate is just melted. Add the remaining chocolate and allow it to sit at room temperature, stirring often, until it's completely smooth. Stir until the chocolate is smooth and slightly cooled.