In a dry (not nonstick) skillet, toast curry powder over medium heat, stirring constantly, until fragrant, a shade darker, and just starting to smoke, 2 minutes. Transfer to a bowl; let cool briefly. Whisk in olive oil, vinegar, and honey. Set aside.
Slice mozzarella into 1/2-in.-thick pieces and set aside. Peel peaches, cut in half lengthwise, and remove pits. Set each half flat on cutting board and slice into 1/2-in.-thick half-moons; set aside. Pluck mint and basil leaves from stems and set aside.
Set out 8 small plates or flattish bowls and build a loose tower of salad on each: Lay a couple of pieces of peach in center, top with a leaf or two of mint and basil, drape on a piece of mozzarella, or repeat layering 2 or 3 times. Top each stack with 2 peach slices and a sprig of mint. Drizzle with curry vinaigrette, season with salt and pepper, and scatter a few mint and basil leaves on each plate.
Note: Nutritional analysis is per salad.