Preheat oven to 425°. Heat 10-inch oven-proof skillet* or 9-inch cake pan or pie plate in oven until hot.
Meanwhile, beat eggs in large mixing bowl with electric mixer at high speed until pale and frothy, about 1 minute. Beat in milk, flour, 1/4 teaspoon salt and 1/8 teaspoon pepper at medium speed until smooth, about 1 minute. Stir in green onions. (Batter will be thin).
Melt 1/4 cup Country Crock® Honey Spread in hot skillet, swirling to coat. Add batter and immediately return skillet to oven. Bake 18 minutes or until puffed and golden brown.
Meanwhile, for Filling, melt 1 tablespoon Spread in another 10-inch nonstick skillet over medium-high heat and cook mushrooms, stirring occasionally, until tender and almost all liquid is absorbed, about 8 minutes. Stir in peas and heat through. Stir in remaining 2 tablespoon Spread, thyme, remaining 1/4 teaspoon salt and 1/8 teaspoon pepper. Spoon hot filling into Dutch Baby, then garnish with parsley. Serve immediately.
*To make handle oven-proof, wrap with heavy-duty aluminum foil.