Spray a 12x9-inch baking pan with cooking spray. Preheat oven to 375 degrees.
In a medium mixing bowl, combine the chicken with the taco seasoning, cream cheese, and 1 cup cheese. Mix very well.
Pour the enchilada sauce into a medium skillet and warm it over low heat. Remove from heat. Dip a tortilla into the sauce briefly, then fill with chicken mixture. Roll up and place seam-side down in the dish. Continue with the rest of the tortillas and chicken mixture.
Drizzle with remaining sauce. Top with the remaining cheese, cover with foil, and bake for 15 minutes, covered. Remove foil and bake for another 15 minutes or until the cheese is melted and bubbly and just starting to brown.