Divide escarole among 6 plates. Cook bacon in medium nonstick skillet over medium heat until crisp. Transfer to paper towels to drain; reserve skillet with bacon drippings. Finely chop bacon; set aside.
Whisk olive oil and vinegar in small bowl to blend. Heat bacon drippings in skillet over medium heat. Add shallots; sauté until slightly softened, about 3 minutes. Add olive oil mixture and whisk just until heated through, about 1 minute. Season to taste with salt and pepper. Drizzle vinaigrette over escarole. Sprinkle with eggs, goat cheese, and bacon.
