Cream butter and sugar until fluffy, then beat in vanilla and salt. Mix in flour until a dough forms, wrap into a disc, and chill 30 minutes.

Roll the dough to 1/4 inch thick and cut into shapes. Place on a parchment-lined baking sheet.

Preheat oven to 325°F (160°C) and bake cookies 13 to 15 minutes, until edges are just golden. Cool on the sheet 5 minutes, then transfer to a rack.

When completely cool, dust with powdered sugar using a fine sieve.