Well... lets take a look at the list.
1) British Empire... too young.
2) Roman Empire... not counting the Byzantines, it doesn't really work.
3) Spanish Empire... again too young, and largely influenced by others.
4) USA... Also, too young... with the one caveat being that the "American" way of life does seem to be permiating across the world in was even the British Empire didn't when they actually OWNED most of the world. Not yet... If the USA stays on top for a while more though... all culture may be a hybrid of US culture.
5) Islamic Empires/Dynasties... Maybe... they did di a lot, but a lot of it didn't end up working well... a lot of stuff having to be rediscovered.
Those off the Board.
1) China... too inturned on themselves.
2) Greece... Alexander the Great... did do a lot. Still... doesn't seem like enough. They influenced the Romans... but the romans did all the real legwork.
3) Mongol Empire. The largest land empire in the world... and debatibly the biggest in the world.
4) Akkadians, Precursors to Bablyon and pretty much the Islamic Empire.
5) Persian Empire... Huge Empire. Powerful... etc.
I'm going Mongols. Why?
1) Yuan Dynasty.
2) Mughal Empire
3) They caused a crapload of destruction where they came. This was greatly infuential... in the demography greatly changed... and you could definitly say your country wasn't the same if the Mongolians came in.
4) The Mongols lead to the rise of Moscow, and effected why Russian history ended up.
5) Greatly expanded europes knowledge of the world, which lead to colonilization and trips like Columbus.