Lightly oil a pan, lay the 3 ham slices slightly overlapping, and fry over medium for about 30 seconds to crisp the edges.
Crack the 2 eggs onto the ham. Once the whites' edges start to crinkle, add 1 tbsp water and cover immediately.
Steam-cook over low heat for 1-2 minutes. Turn off the heat once the yolk surface turns faintly white (shorter if you like it runnier). Season with salt and pepper.
Plate with cabbage and cherry tomatoes, sliding the ham and egg from the pan.
Arrange with rice, miso soup and pickles on a tray.
So, what to put on the egg? Soy sauce, sauce, salt and pepper, ketchup... the family split over toppings is part of the fun of a set meal.