In 10-inch skillet, cook ground beef, onion and garlic over medium-high heat, stirring frequently, until beef is thoroughly cooked; drain. Stir in soup and chiles.
Spray 3 1/2- to 4-quart slow cooker with cooking spray. Spread about 1/4 cup of the enchilada sauce in bottom of slow cooker. Place 4 corn tortillas over sauce, overlapping and breaking in half as necessary to make an even layer. Top with 1/3 of beef mixture, spreading evenly. Drizzle with about 1/4 cup enchilada sauce. Sprinkle with 1 cup of the cheese.
Repeat layering twice, using 3 corn tortillas and half of remaining beef mixture, enchilada sauce and cheese in each layer. Sprinkle paprika over top.
Cover; cook on Low heat setting 4 hours 30 minutes to 5 hours 30 minutes.
Let stand about 5 minutes before serving. Sprinkle individual servings with cilantro.