Preheat and prep: Heat the oven to 400°F (200°C). Lightly mist a 9x13-inch baking dish with cooking spray.
Mix the spice blend: In a small bowl, combine chili powder, cumin, smoked paprika, garlic powder, onion powder, oregano, cayenne (if using), salt, and pepper.
Season the chicken and veggies: In a large bowl, add chicken strips, sliced peppers, and onions.
Drizzle with olive oil and sprinkle on the spice blend. Toss until everything is evenly coated.
Whisk the sauce: In a separate bowl, whisk Greek yogurt, chicken broth, and lime juice until smooth. It should be pourable and lightly creamy.
Assemble the casserole: Spread the chicken and veggie mixture evenly in the baking dish.
Pour the yogurt-lime mixture over the top and gently toss to coat.
Bake uncovered: Place in the oven and bake for 20 minutes. Stir gently, then continue baking for another 10–15 minutes, until the chicken is cooked through and the peppers are tender-crisp.
Add cheese: Sprinkle the shredded cheese over the top and bake 3–5 more minutes, just until melted.
Finish and serve: Let it rest for 5 minutes. Sprinkle with chopped cilantro.
Serve with lime wedges and your favorite sides or wraps.