Combine the ground beef, bread crumbs, 1/2 cup tomato sauce, onions, green pepper, oregano, salt and pepper. Mix gently but well. Pat into a 9 inch pie plate to form a shell with a 1-inch fluting around the edge.
Combine rice, water, tomato sauce, salt and 1/4 cup of the cheese. Fill meat shell. Cover with foil and bake at 350*F for 25 minutes.
Uncover and sprinkle with the remaining cheese. Continue to bake for another 10 to 15 minutes, uncovered.