In a large oven-safe skillet, add a splash of olive oil over medium heat. When hot, add the diced red onion and bell pepper. Sauté for about 3-4 minutes, until they begin to soften.
Stir in the minced garlic, cumin, smoked paprika, salt, and pepper. Cook for another minute, until fragrant.
Push the vegetables to the side of the pan and add the chicken thighs to the center. Season the chicken with salt and pepper. Pour the salsa verde over the chicken and evenly distribute the corn and black beans around it.
Cover the skillet with a lid or aluminum foil and transfer it to the preheated oven. Bake for 25-30 minutes, or until the chicken is fully cooked (internal temperature should be 165°F or 75°C).
Remove the skillet from the oven and sprinkle the shredded cheese over the top. Return to the oven (uncovered) for an additional 5-7 minutes until the cheese is melted and bubbly.
Remove from the oven and allow to rest for a few minutes. Garnish with chopped fresh cilantro and serve with lime wedges on the side for squeezing over the dish.