Pre-heat conventional oven to 350°F.
Lay each tortilla on a cookie sheet, and brush each side lightly with olive oil. On each tortilla place 1/3 cup pinto beans, 3 tbsp. salsa verde and ¼ cup cheddar cheese. Place into pre-heated oven and bake for 10-15 minutes, or until the tortilla is crispy and the cheese is melted.
Meanwhile, in a skillet over medium heat, warm some olive oil and cook 4 eggs to soft-fried, or desired doneness.
Combine onions, lime juice and olive oil in a bowl. Refrigerate for assembly.
Remove the rancheros from the oven and top each with one egg, ¼ cup shredded lettuce and 2 tbsp. dressed onions. Serve.