Preheat the oven to 325°F (163°C) and line a baking sheet with parchment paper or a silicone baking mat.
In a large bowl or stand mixer fitted with the paddle attachment, cream 1 cup plus 2 tablespoons unsalted butter and 1/2 cup granulated sugar on medium speed until pale and fluffy, about 3–4 minutes, scraping down the bowl as needed.
1 cup plus 2 Tbsp unsalted butter
Add 1 teaspoon vanilla extract and mix until incorporated.
0.5 cup granulated sugar
Whisk together 2 cups all-purpose flour, 1/2 cup cornstarch, and 1/4 teaspoon salt in a separate bowl.
1 teaspoon pure vanilla extract, 2 cups all-purpose flour, 0.5 cup cornstarch
With the mixer on low, gradually add the flour mixture to the butter mixture until a cohesive dough forms.
Turn the dough onto a lightly floured surface and roll to 1/2-inch thickness. Cut into shapes using a cookie cutter.
Place cookies 1 inch apart on the prepared baking sheet and chill for 5–10 minutes.
Bake for 12–14 minutes, or until the edges are just beginning to turn golden.
Let cookies rest on the baking sheet for 5 minutes, then transfer to a wire rack to cool completely.