Preheat your oven to 350°F.
Pat each chicken breast dry with paper towels and season with salt and pepper.
In a large casserole dish, arrange the chicken breasts in a single layer.
Mix the cheddar cheese soup, milk, and paprika together in a bowl.
Pour the mixture evenly over the chicken breasts in the dish.
Scatter the broccoli florets over the chicken.
Spread the shredded cheddar cheese over the broccoli.
Stir the cracker crumbs and melted butter together.
Sprinkle the crumb mixture evenly over everything in the casserole dish.
Bake in the preheated oven for 40 to 45 minutes, until the chicken is cooked through and the top is golden.