Heat oven to 375°F. Spray 12x8-inch (2-quart) glass baking dish with nonstick cooking spray. In medium bowl, combine chicken, cilantro, black beans and chiles; mix well.
Spoon 2 tablespoons of the enchilada sauce in bottom of sprayed baking dish. Place 4 tortillas over enchilada sauce, overlapping as necessary. Spoon half of chicken mixture over tortillas; sprinkle with 1/2 cup cheese. Spoon half of remaining enchilada sauce and half of the sour cream randomly over cheese. Repeat layers. Cover with foil.
Bake at 375°F. for 30 to 35 minutes or until thoroughly heated. Uncover; sprinkle remaining 1/2 cup cheese over casserole. Bake, uncovered, an additional 5 minutes or until cheese is melted. Let stand 10 minutes before serving.