Pour balsamic vinegar and honey into a deep skillet over medium heat.
Cook and simmer until reduced to slightly under a 2 Tablespoons, about 15 minutes, stirring occasionally.
Preheat oven to 500 degrees F.
Brush flatbreads with olive oil. Layer with thinly sliced mozzarella cheese and thinly sliced peaches.
Bake for 4-8 minutes or until cheese is melted and bubbly.
Remove from oven. Sprinkle with chopped basil and drizzle with balsamic reduction.
