Preheat oven according to package directions for naan or pizza. Brush tops with oil. Sprinkle each naan with 1/2 tsp za'atar or pizza with 1 tsp za'atar.
Place on baking sheet. Dollop evenly with goat cheese. Then scatter with prosciutto, peaches and olives. Bake according to package directions, until crust is hot and cheese is melted, about 2 to 4 minutes for naan and 6 to 8 minutes for pizza.
Remove from oven. Sprinkle with remaining 1/2 tsp za'atar and basil. Makes 2 servings for naan or 2 to 3 for pizza.*Za'atar is a blend of dried thyme, oregano, sumac and sesame seeds. Sometime ground cumin and salt is added.