Preheat the oven to 350 degrees Fahrenheit and grease a 9x13 baking dish.
In a large bowl, mix the cooked rice, shredded chicken, cream of chicken soup, sour cream, and chicken broth until well combined.
Spread the mixture evenly into the baking dish.
In a small bowl, toss the crushed Ritz crackers with the melted butter until the crumbs are coated.
Sprinkle the buttery cracker crumbs evenly over the casserole.
Bake for 30 to 35 minutes until the casserole is bubbling and the cracker topping is golden brown.