Preheat oven to 375 degrees F.
Cream sugar, butter, and vanilla together until creamy, light, and fluffy.
Slowly add flour and blend well until flour becomes completely incorporated into the mixture forming a soft dough.
Refrigerate the dough for 2 hours or more until quite firm.
While the dough is chilling, unwrap the kisses.
When the dough is thoroughly chilled, take a spoonful and work gently with fingers to create a ball then flatten the ball into a small patty. Place a kiss in the center of the patty then pull up sides to wrap around a kiss. When the kiss is completely covered, roll dough in your palms (like a meatball) to shape it back into the ball. Place on ungreased cookie sheets. Repeat until all dough/kisses are in balls.
Bake for 10-12 minutes (depending on your oven)or until dough is no longer gummy and bottoms are slightly golden.
Cool for a few minutes on a cookie sheet, then place on a rack to coolentirely. Meanwhile, put confectioner's sugar in a large bowl.
When cookies are cooled, roll in confectioner's sugar to coat. When you have finished all the cookies with one coating, repeat so that each cookie has 2 coats of confectioner's sugar and is covered all around.