Egg sandwiches are a Long Island staple.
Generally served on a roll, standard is 2 eggs ( scrambled or fried as you specify) bacon or ham or sausage, cheese and then as specified salt, pepper, ketchup
I myself prefer eggs over easy ( don’t break the yolk, don’t cut the roll!) with bacon or ham and Muenster cheese…no condiments
Vixdad is a scrambled eggs with sausage, American cheese and ketchup