01 - Preheat oven to 400°F. Lightly grease a 9x13-inch baking dish with butter or cooking spray.
02 - Bring salted water to a boil in a large pot. Add diced potatoes and cook for 8–10 minutes until fork-tender. Drain well and set aside.
03 - Steam broccoli florets for 3–4 minutes until bright green and slightly tender. Do not overcook.
04 - In a large mixing bowl, combine cooked potatoes, steamed broccoli, chicken, onion, and garlic.
05 - Whisk together sour cream, milk, melted butter, 1 cup cheddar cheese, salt, pepper, paprika, and thyme until smooth and well combined.
06 - Pour the creamy sauce over the potato, chicken, and broccoli mixture. Stir gently to coat everything evenly.
07 - Transfer the mixture to the prepared baking dish, spreading evenly. Sprinkle the remaining ½ cup cheddar cheese across the top.
08 - Bake uncovered for 25–30 minutes until the casserole is bubbly and the cheese topping is golden brown.
09 - Let the casserole rest for 5 minutes before serving to allow it to set.