Prepare the chicken: In a small bowl, mix smoked paprika, cumin, chili powder, garlic powder, onion powder, cayenne, salt, and pepper. Rub olive oil over the chicken breasts, then coat evenly with the spice mix.
Preheat the grill: Heat your grill or grill pan to medium-high heat.
Grill the chicken: Place the chicken on the grill and cook for about 6 minutes per side or until the internal temperature reaches 165°F (75°C). Remove from grill and let rest for 5 minutes.
Make the peach salsa: While the chicken cooks, combine diced peaches, red bell pepper, red onion, jalapeño, lime juice, cilantro, and salt in a bowl. Mix gently to combine.
Serve: Slice the chicken breasts and top generously with peach salsa. Enjoy as is or with a side of rice, salad, or tortillas.