Step 1: Heat the Oven and Prepare the Baking Dish - Preheat your oven to 375°F and lightly grease a 9 by 13 inch baking dish. Giving the oven time to heat before the casserole goes in helps the filling warm evenly and gives the stuffing a better chance to turn golden on top. A light coating of cooking spray or butter in the baking dish also makes serving and cleanup easier later, which I always appreciate after dinner.
Step 2: Mix the Creamy Chicken Filling - Add the shredded chicken to a large mixing bowl, followed by the cream of chicken soup, sour cream, 1/2 cup chicken broth, garlic powder, onion powder, dried thyme, salt, black pepper, and frozen mixed vegetables. Stir until the chicken and vegetables are evenly coated in the creamy mixture. Take an extra few seconds to scrape around the bottom of the bowl so there are no pockets of seasoning hiding down there. The mixture should look thick and creamy but still easy to spread.
Step 3: Spread the Filling Into the Dish - Spoon the chicken mixture into your prepared baking dish and spread it into an even layer. You do not need to press it down firmly. Just smooth the surface enough that the filling has roughly the same depth from one side of the dish to the other. That helps everything heat at the same pace and makes sure every scoop eventually gets a good balance of chicken, vegetables, creamy sauce, and stuffing.
Step 4: Moisten the Buttery Stuffing - Pour the dry stuffing mix into a separate bowl. Add the remaining 1 1/2 cups chicken broth and the melted butter, then stir gently until the stuffing is evenly moistened. You want the bread pieces damp enough to soften during baking, but you do not need to mash or overmix them. I like to leave the stuffing a little loose and craggy because those uneven pieces on the surface are the ones that get especially tasty and golden in the oven.
Step 5: Top and Bake the Casserole - Spoon the prepared stuffing evenly over the chicken mixture, covering as much of the creamy filling as you can without packing it down. Place the dish in the preheated oven and bake uncovered for 30 to 35 minutes. You will know it is ready when the filling is bubbling around the edges and the stuffing on top has picked up a light golden color. That bubbling is important because it tells you the center has had time to become thoroughly hot too.
Step 6: Rest Before Serving - Remove the casserole from the oven and let it rest for about 5 minutes before you start scooping. I know that is difficult when everybody can smell dinner, but those few minutes really help. The creamy filling thickens slightly as it sits, which means you get hearty spoonfuls instead of sauce running all over the plate. Then scoop it up while it is still warm and make sure everybody gets some of those golden stuffing pieces from the top.