Preheat the oven to 325°F (163°C). Line a baking sheet with parchment paper.
In a large bowl, cream the softened unsalted butter and granulated sugar together until light and fluffy using an electric mixer or by hand.
Add the vanilla extract and mix until combined.
Gradually add the all-purpose flour and salt to the butter mixture, mixing gently until the dough just comes together. Do not overmix.
Turn the dough out onto a lightly floured surface and knead gently to form a smooth ball.
Roll the dough out to about 1/4 inch thickness.
Use a cookie cutter to cut out desired shapes and place them evenly spaced on the prepared baking sheet.
Prick each cookie a few times with a fork to prevent puffing during baking.
Bake in the preheated oven for 20 to 25 minutes, or until the edges are lightly golden.
Remove from the oven and let the cookies cool on the baking sheet for 5 minutes before transferring them to a wire rack to cool completely.