You mean I didn't invent fried egg sandwiches when I was a kid?
I still love them. Mine are with Miracle Whip on the soft bread and plenty of Tabasco on the fried egg. Nowadays, it's wheat bread, of course - gotta be healthy.
Also like "eggs in a frame" with the egg fried in a cut-out hole in one slice of bread, then turned to toast each side. Lots of butter! And the little fried toast "cut-out" as a treat with grape jam or orange marmalade.