Cream The butter with the sugar until light, about 2 minutes. Beat the eggs, one at a time, into the vanilla. Scrape down the sides of the bowl as needed, the beat in the milk. Fold in the flour mixture just to blend. Cover the bowl with plastic wrap and chill for 20 minutes.
Preheat the oven to 375°F. Lightly oil a baking sheet or line it with parchment paper.
Roll tablespoons of the dough into balls, then roll each ball in the cinnamon/sugar mixture. Place the balls on the prepared baking sheet and flatten slightly. Bake for 10 minutes or until golden. Cool on wire rack. Makes 2 dozen cookies.