Spread rice evenly over the bottom of a lightly greased 9x13 inch baking dish. Sprinkle cubed chicken evenly over rice, then sprinkle the broccoli over the chicken. Mix soup and milk together, and pour mixture evenly over chicken/broccoli mixture. Sprinkle cheese evenly over the soup.
Melt butter or margarine in a small saucepan or skillet over low heat; add bread crumbs and mix completely together. Spoon mixture evenly over cheese layer in baking dish and cover with aluminum foil.