Preheat oven to 350°F and line baking sheets with parchment paper or silicone mats.
In a small bowl, whisk together flour, ginger, cinnamon, baking soda, and salt; set aside.
Cream butter and brown sugar in a mixer until pale and fluffy.
Add molasses, egg, and vanilla extract; mix until combined, scraping bowl sides as needed.
Gradually add flour mixture and mix on low speed until soft dough forms.
Scoop dough with a 1-tablespoon scoop, roll into balls, then coat each in granulated sugar.
Place sugar-coated balls spaced apart on baking sheets.
Bake for 8 minutes until edges are set.
Immediately press a Hershey's Kiss into the center of each warm cookie.
Transfer cookies to wire rack and cool completely before serving.