In a medium mixing bowl, combine ground beef, soy sauce, oyster sauce, brown sugar, salt and pepper. Divide into four equal portions and form ¾ inch patties.
Set your sous vide device to 147℉ for medium well.
Place the two patties in each of two food grade plastic bags. Once the water is heated, lower the bag into the water using the displacement method to ensure the contents are fully submerged. Let cook for 22 minutes. Once the cooking is done, the patties can be left to keep warm for up to another hour.
Meanwhile, in a small bowl, combine beef broth, soy sauce, Worcestershire and cornstarch. Set aside.
In a large frying pan on medium heat, add 1 tablespoon vegetable oil and fry 2 eggs at a time, sunny side up. Remove and set aside.
In the same pan, melt butter. Add onion and sauté for 2-3 minutes, until translucent. Turn the heat to medium low. Give the gravy ingredients a stir to make sure cornstarch is dissolved completely. Add the mixture to the frying pan and stir. Once the gravy turns a dark brown and starts to simmer, turn off the heat.
Finish off the beef patties by torching, pan frying or grilling.
Place a large scoop of rice on a plate, top with beef patty, gravy, fried egg and green onion.