Whisk flour, ginger, baking powder, cinnamon, and salt together in a bowl.
Beat butter in a large bowl until creamy. Gradually beat in 2 cups sugar until light and fluffy. Add eggs, one at a time, beating well after each addition. Beat in molasses. Stir 1/2 of the flour mixture into butter mixture; add remaining flour mixture and stir until dough is just-combined.
Pour 3/4 sugar into a shallow bowl. Roll dough into 2 inch balls and roll each ball in sugar to coat. Place sugar-coated dough balls 2 1/2-inches apart on a baking sheet.
Bake in the preheated oven until cookies are light brown and puffed, 12 to 14 minutes. Cool on the baking sheet for 2 minutes before transferring cookies to a wire rack to cool completely.