Egyptian
Hittite
Judaic
Assyrian
Babylonian
Persian
Macedonian
Roman
Byzantine
Caliphate
Crusader/Saracen
Ottoman
European colonial
The map concludes that the next expansive power will be Iranian. I think this is possible, and of course more likely now that the buffer that was Iraq has been knackered. I don't think the US can maintain an empire in the Middle East, though it could probably sustain an enclave.
Thanks to andrewducker for the link.