Preheat oven to 400°F and brush 2 baking sheets with oil.
Remove pizza dough from 1 package and flatten on a baking sheet. Using a 6-inch round stencil or base of a tart pan, cut out 3 (6-inch) rounds. Gather excess dough and roll out on oiled surface to make another 6-inch round; place on baking sheet with others. Repeat procedure with second pizza- dough package and baking sheet.
Spread 1 1/2 to 2 Tbsp. pizza sauce evenly on each pizza, leaving a 1/2-inch border. Top with about 1/4 cup mozzarella cheese per pizza. Distribute toppings over pizzas in any combination, and sprinkle with Parmesan and, if desired, crushed red pepper.
Bake pizzas until the crust is golden brown and cheese is melted, about 15 minutes. Serve hot.