Heat oven to 375°F. Spray 11x7-inch (2-quart) glass baking dish with cooking spray. In medium bowl, mix chicken, cilantro, black beans and chiles.
Spread 2 tablespoons of the enchilada sauce in bottom of baking dish. Place 4 tortillas over sauce, overlapping as necessary. Spoon half of the chicken mixture over tortillas; sprinkle with 1/2 cup of the cheese. Spoon half of the remaining enchilada sauce and half of the sour cream randomly over cheese. Repeat with remaining tortillas, chicken mixture, 1/2 cup cheese, the enchilada sauce and sour cream.
Cover with foil. Bake 30 to 35 minutes or until hot. Sprinkle with remaining 1/2 cup cheese. Bake uncovered 5 minutes longer or until cheese is melted. Let stand 10 minutes before serving.