Prep - Preheat broiler on low setting, if available. Mince onion. Line a large plate with paper towel and keep paper towels handy. Warm up red chile sauce.
2½ cup Red chile sauce, warmed (Sub: 24 oz canned enchilada sauce), ¼ cup Sweet onion, minced
Tortillas - Heat oil in nonstick pan over medium heat. With tongs, dunk each tortilla in oil for a few seconds on both side to soften. Don't let them get crisp. Transfer to the paper towel-lined plate and cover with a second sheet to keep warm.
¼ cup Vegetable, canola, or corn oil, 12 Yellow or blue corn tortillas, bought or homemade
Optional Meat - If making a version with meat, fry meat and minced onion in pan over medium heat until meat become brown. Drain excess grease, stir in the chopped Hatch chile, and set aside. Follow traditional recipe but layer tortillas with meat mixture instead of the minced fresh onion called for.
1 lb Ground beef (optional), 4 oz Can chopped Hatch chile peppers
Assemble - Preheat oven to 400℉ (205℃). Place 4 tortillas on a baking pan and layer on ½ of the minced onion and chopped Hatch chiles (or meat mixture instead). Cover the 4 tortillas with ⅓ of the chile sauce and ⅓ of the cheese. Repeat for a second layer. Top second layer with the remaining red chile sauce and cheese.
1 lb Shredded cheddar, colby, and/or Monterey jack or a Mexican cheese blend.
Cook - Place baking pan with enchiladas in the oven to melt the cheese, around 5 minutes. Meanwhile warm butter in the same nonstick frying pan over medium heat. Fry eggs either sunny side up or over easy. Season with salt and pepper.
3 tbsp Butter, 4 large Eggs, Salt and black pepper, to taste
Serve - Transfer each stack to a plate. Place a fried egg on top of each stack. Serve hot alone or with rice and beans.