Arab Empire: Belief Empire and Force Empire
Mongolian Empire: Barbarian Empire
Inca is not so good.
The Indian Empire is a descendant of the Mughal Dynasty, the "Timur Empire" of Turkic Mongolia, with little influence.
Greece is not an empire. . . . .
Generally speaking, the Roman Empire and the Arab Empire had the greatest influence on later generations.
The bloodiest and most powerful is the Mongolian Empire.
Compare the forces from big to small: the Mongolian Empire, the Arab Empire, the Roman Empire, the Mughal Dynasty of the Indian Empire, and the Inca Empire Greece are not counted.
Culture grew up: the Roman Empire, the Arab Empire and the Indian Empire left at least the Taj Mahal, the savage of the Mongolian Empire and the indigenous people of the Inca Empire.