Whisk together the flour, baking powder, baking soda, and salt. Set aside.
Using an electric mixer on medium speed, beat the peanut butter, butter, sugar, and brown sugar until light and fluffy. Add the egg and vanilla, and mix well.
Reduce the mixer speed to low. Gradually add the flour mixture, mixing just until combined.
Cover and chill the dough for 1 hour.
Preheat the oven to 350°F (175°C). Line baking sheets with parchment paper or silicone liners. Place a few tablespoons of granulated sugar or coarse sugar in a shallow bowl.
Scoop the dough in 1 & 1/2-tablespoon portions (I use a #50 scoop). Roll each dough ball in sugar. Then place the balls of dough on the prepared pans and flatten the tops slightly. Leave about 2 inches between each cookie on the pan.
Bake (one pan at a time) 12 to 15 minutes, or until the cookies are golden brown. Refrigerate the remaining dough between batches.
Cool the cookies on the pans on a wire rack for 10 minutes. Then place a chocolate kiss in the center of each cookie, pressing down gently. Transfer the cookies from the pan directly onto a wire rack to cool completely.
Notes
Store the cookies in an airtight container at room temperature up to 4 days or in the freezer up to 3 months.