Actually, yes. Every one of the aforementioned empires attained that goal....and failed.
When you say that "every one" of those groups you named "attained that goal," you seem to be stating that the ancient Babylonians, Greeks, etc. conquered and controlled the entire planet. Not "hurr durr thuh entire earth that dey knew of lol" but the entire planet, period. If this is the case, please provide proof of ancient Roman rulership over ancient Bolivia, Greenland, Madagascar, and Japan. If I have misinterpreted your remarks, explain in great detail what you meant by them.
They conquered More of the world than they knew existed. The Mongols though, came the closest to attaining the goal. They also ruled competently and in an enlightened manner. Something that no progressive has managed to do since.
" ancient Bolivia, Greenland, Madagascar"????not even nations when "" Rome was the world"" for 1000 years