In a resealable plastic bag, combine the first four ingredients; add meat. Seal bag and turn to coat.
Pour oil into a shallow 2-qt. microwave-safe dish; arrange meat evenly in dish. Cover and microwave at 50% power for 3-1/2 minutes, stirring once; set aside. Drain tomatoes, reserving juice; set tomatoes aside.
In a microwave-safe bowl, combine tomato juice, carrots, onion, basil and oregano. Cover and microwave on high for 2-1/2 minutes, stirring once. Pour over meat; add the tomatoes, zucchini and mushrooms. Cover and microwave at 50% power for 7-8 minutes, stirring several times. Let stand for 3 minutes. Serve with rice.