Make the patties: mix all the hamburger steak ingredients together, shape into patties, and pan-fry until fully cooked. Set aside.
Make the gravy: in the same pan, melt the butter and caramelize the onion and mushrooms. Stir in the flour until combined.
Pour in the red wine to deglaze the pan, then add the beef broth, soy sauce, ketchup, Worcestershire, and beef bouillon. Simmer until thick and smooth.
Assemble: serve the hamburger steak over steamed rice and pour the mushroom gravy generously over the top. Finish with a fried egg, sliced avocado, and fresh chives.
A Hawaiian classic with a Japanese twist, from @rionsfood on Instagram.