Preheat and prep: Heat your oven to 400°F (200°C). Lightly grease a 9x13-inch baking dish or use a large oven-safe skillet.
Cut chicken and veggies into bite-sized pieces.
Season the chicken: In a bowl, toss the chicken with olive oil, salt, pepper, smoked paprika, and Italian seasoning until evenly coated.
Layer the base: Spread the uncooked rice or small pasta evenly in the dish. Scatter the onion, garlic, and mixed veggies over the top.
Add the liquids: Pour the chicken broth and milk over the rice or pasta and veggies. Give the pan a gentle shake to distribute the liquid.
Add chicken and some cheese: Arrange the seasoned chicken on top.
Sprinkle 1 cup of the shredded cheese over the pan, reserving 1/2 cup for later.
Cover and bake: Cover tightly with foil and bake for 25 minutes. This step helps the rice or pasta absorb liquid and start to soften.
Stir in the creamy element: Carefully remove the foil and stir in the sour cream or Greek yogurt, mixing gently to distribute the creaminess without breaking up the chicken too much.
Finish with cheese (and crunch): Sprinkle the remaining 1/2 cup cheese over the top. If using, combine panko with melted butter and scatter over the cheese.
Bake uncovered: Return to the oven, uncovered, for 12–15 minutes, until the cheese is melted and the top is lightly golden.
The chicken should reach an internal temperature of 165°F (74°C).
Rest and serve: Let the casserole rest for 5–10 minutes. Garnish with chopped parsley or green onions. Taste and adjust salt if needed, then serve warm.