Spray 13x9-inch (3-quart) glass baking dish with cooking spray. In 12-inch nonstick skillet, cook rice and vermicelli with butter over medium heat until rice mixture is golden brown, stirring frequently. Stir in water and seasoning mix from rice box. Heat to boiling. Cover; reduce heat to low. Cook 15 to 20 minutes or until rice mixture is tender. Stir in 1/2 cup of the enchilada sauce, the pinto beans and corn.
Heat oven to 350°F. Place about 1/2 cup rice mixture on center of each tortilla; top rice mixture in each tortilla with about 1 tablespoon of the cheese. Fold each in half. Arrange tortillas in 2 rows of 5 in baking dish, placing tortillas open end up, slanting and overlapping. Pour remaining enchilada sauce evenly over enchiladas. Cover tightly with foil.
Bake 30 to 35 minutes or until hot and sauce begins to bubble. Uncover; sprinkle with remaining cheese. Bake uncovered about 5 minutes longer or until cheese is melted.