Preheat oven to 450°.
Combine 1 teaspoon oil, 1/8 teaspoon salt, thyme, peppers, and potatoes in an 11 x 7-inch baking dish coated with cooking spray. Bake at 450º for 20 minutes, stirring occasionally. Stir in cheese and 1/2 teaspoon garlic.
Snap off tough ends of asparagus. Combine 1 teaspoon oil, 1/8 teaspoon salt, 1/2 teaspoon garlic, and asparagus. Add asparagus mixture to dish. Bake for 10 minutes or until asparagus is crisp-tender.