Preheat oven to 350° F.
In a large nonstick skillet, heat the wine or broth. Add the onions, celery and bell pepper; cook, stirring as needed, until softened, 5-6 minutes.
Add the tomatoes, parsley, thyme and black pepper; bring to a boil.
Stir in the rices; transfer to a 3-quart casserole. Cover with foil and bake 10 minutes; uncover and sprinkle with the cheese. Bake until the cheese is melted, about 3 minutes longer.
Servings: