In a large skillet over medium heat, cook bacon until crisp. Remove bacon; crumble and set aside. Drain, reserving 2 tablespoon of drippings. Add potatoes, green pepper, onion, salt, and pepper to drippings; cook and stir for 2 minutes. Cover and cook, stirring occasionally, until potatoes are browned and tender, about 15 minutes. Make 6 wells in the potato mixture; break 1 egg into each well. Cover and cook on low heat for 8 to 10 minutes or until eggs are completely set. Sprinkle with cheese and bacon.