Heat the oil in a 12-inch skillet over medium heat. Add the bean sprouts, mushrooms, and onions to the skillet. Cook for 3 minutes or until slightly tender, stirring frequently.
Add all the remaining ingredients except the sour cream, parsley, and Parmesan cheese. Bring to a boil; cover and reduce the heat. Simmer for 10 minutes or until the liquid is absorbed and the rice is tender.
Stir in the sour cream. Sprinkle with the parsley and shredded cheese.