Heat oven to 375°F. In 10-inch skillet, heat oil over medium-high heat. Add beef; sprinkle with thyme and pepper. Cook 5 to 7 minutes, stirring occasionally, until beef is browned.
Meanwhile, in large bowl, mix remaining ingredients except biscuits and parsley.
Stir beef into vegetable mixture. Pour into ungreased 13x9-inch (3-quart) glass baking dish.
Cover dish with foil. Bake 28 to 30 minutes or until bubbly around edges.
Cut each biscuit into 4 pieces. Place biscuit pieces evenly on beef mixture, leaving space between pieces. Bake uncovered 14 to 18 minutes longer or until biscuits are golden brown. Sprinkle with parsley.