This is probably one of the best sugar cookie recipes I have ever found. You don't have to chill the dough and they are very flavorful even without the sugar or frosting on top.
Cream together 1 cup softened butter and 1 cup sugar.
Add one egg and 1 tsp. vanilla. (Sorry for the blurry picture)
Sift together 3 cups, all-purpose flour and 2 tsp. baking powder.
Gradually add to the butter mixture.
Form the dough into a smooth ball.
Roll out on a lightly floured surface to a thickness of 1/8 to 1/4 inch. Cut wtih cookie cutters.
Place on ungreased cookie sheet and sprinkle with sugar. (Skip the sugar and wait until cool to frost)
Bake at 400 degrees for 6 minutes. They shouldn't brown at all. Obviously, I didn't listen!