Preheat the oven to 325 degrees. Line two baking sheets with parchment paper.

In the bowl of a mixer, beat the butter and sugar until light and fluffy. Add the flour, and mix until well blended. Stir in the vanilla and potato chips.

Drop rounded tablespoons of the dough, spaced about 2 inches apart, onto the prepared baking sheets. Bake until lightly browned around the edges, 12 to 15 minutes. Let cool on the baking sheets for 5 minutes. Transfer the cookies to a wire rack to cool completely.

Place the confectioners’ sugar in a shallow bowl, and roll the cookies in the sugar to lightly coat. Store at room temperature, with waxed paper between the layers, in an airtight container.