Preheat oven to 350°F (175°C) and lightly grease a 9x13-inch baking dish.
If using fresh broccoli, steam or boil until just tender, then drain well.
In a large bowl, stir together soup, milk or sour cream, salt, pepper, and any optional seasonings.
Fold in cooked rice, broccoli, and 1½ cups of grated cheese. Mix until evenly combined.
Transfer the mixture to the prepared baking dish. Top with remaining cheese and optional crumbs.
Bake uncovered for 25–30 minutes, until hot and bubbling. Let rest 5 minutes before serving.