On medium heat, add oil to a pan and cook the onions until slightly brown. Stir often to prevent sticking. I like the onions a little burnt on the edges. (You can add more oil if your onions are getting really stuck).
Turn heat down low and add garlic to cook for a couple of minutes.
In a large bowl, add the rest of your steak ingredients. Once the onions cool enough to handle, add them to the bowl and mix all together until homogenous.
Divide the meat mixture into six evenly sized patties. You want them plump, not flat like burgers.
Mix your sauce ingredients (without the pan drippings) and set aside.
On medium heat, heat oil in a large frying pan. Make an indent with your thumb in the middle of your patties to help prevent them from turning into baseballs and gently add them to your pan.
Cook for about 3-5 minutes, until the bottom is browned, flip and repeat.
Once browned on both sides, turn the heat down low, add water to the pan, cover with a lid and cook for 5-10 minutes, or until the patties are fully cooked inside. (Check with a thermometer!)
Remove the patties from the pan but keep all the drippings (bits of goodness) stuck to the pan.
Add the sauce to the pan and simmer while mixing.
Once thickened, pour the sauce over the hamburger steaks!
Fill your bowl with rice and veggies, top rice with a patty, pour sauce over the top and top with an egg. Itadakimasu!