Prepare a baking sheet with parchment paper or a silicone liner and set aside. Preheat oven to 350 degrees F. prior to baking.
Combine the butter and sugars in a large mixing bowl and beat until the sugar is dissolved into the butter, about 2 to 3 minutes. Scrape down sides of bowl as needed. Add in the egg and beat until fluffy.
Add peanut butter and vanilla and mix well.
Add in the flour, salt, and baking soda, and mix well until cookie dough is formed and no flour pockets are left.
Using a 1½ Tablespoon scoop, scoop about 24 balls and roll in granulated sugar. Place on prepared baking sheet.
Bake for 8-10 minutes. Remove from the oven then gently press a Hershey kiss into the center of each warm cookie immediately.
Cool before serving, or serve immediately for melty chocolate centers.
Notes
Storage: Once cooled, store in an airtight container for up to 4 days.