The Persian Empire.
He conquered Greece, Egypt, Persia, and part of the Indus Valley in India
Alexander was king of Macedonia (not Greece) and he conquered the Persian Empire in order to become king of it. The empire stretched from Greece to Egypt and today's Pakistan.
Greece did not conquer Phoenicia. Macedonian king Alexander took it over as part of his conquest of the Persian Empire in 334 BCE.
He conquered the Persian Empire from Libya to Central Asia. He conquered it for himself, not for Greece, which he controlled. He was Macedonian, and it was his empire, not Greece, which was a collection of independent city-states, which his father had taken control of, and passed it on the Alexander.
Cyrus the Great conquered the ENTIRE Middle East, Egyptian empire, and parts of India, China, Mongolia, Russia, and Greece. Xerxes the great conquered Greece and opened the door to Europe for Persia. Sassanid also was famous for conquering the far east. Also: Darius
The Persian empire.
His empire included: Macedonia, Asia Minor (Turkey), Persia, and Egypt. He also conquered the island of Cyprus.
To expand their empire.
It was the Persian Empire.
Mainland Greece in ancient times was not part of the Persian Empire, though many Greek lands in what is now Turkey were conquered by Persia. It was Greek military resistance to two Persian invasions that kept it out of the Persian Empire.
The Persian Empire failed by never taking over Greece.