Preheat oven to 375 degrees F. Cream together butter and sugar until light and fluffy. Beat in eggs one at a time, then stir in vanilla. In a separate bowl, whisk together flour, baking soda, and salt. Gradually add dry ingredients to wet ingredients, mixing until just combined. Chill dough for at least 30 minutes. Roll out dough on a lightly floured surface to 1/4 inch thickness. Use cookie cutters to cut out shapes and place on ungreased baking sheets. Bake for 8-10 minutes, or until golden brown. Let cool completely on baking sheets before serving.