Boil the Maruchan Beef Ramen noodles for 3 minutes. Add flavor packets and remove from heat. Drain the noodles.
Add eggs to noodles and mix until evenly coated. Divide into 6 small bowls (ramekins are recommended), ensuring that noodles are flattened. Cover and refrigerate for 20 minutes.
Beat 2 eggs. Add a pinch of salt and pepper.
Heat vegetable oil over medium heat and cook ramen for 3 minutes on each side or until crisp.
Mix beef, soy sauce, and sesame oil in bowl. Shape into 3 patties.
Cook beef patties for 3 to 5 minutes on each side until center is lightly pink (or as desired). Add 1 slice of American cheese on top and cook for 1 minute more.
Fry 3 eggs in pan until yoke is firm and place on top of each patty.
Mix ketchup and Sriracha together.
Assemble burger with ramen buns, Sriracha and ketchup mixture, arugula, beef patty, and egg. Serve.
DISCLAIMER: Consuming raw or undercooked eggs, meats, poultry, seafood or shellfish may increase your risk of foodborne illness, especially if you have certain medical conditions.