Under Darius, the Persian Empire extended to the city of Taxila in Central Asia. He was emperor from 521 to 486 BC.
Cyrene.
It is hard to know where they actually got control of. Possibly Bishkek in Kyrgystan.
The city of Jerusalem was within the Persian Empire.
Persepolis
Which city are you asking about. There were hundreds of cities within the Persian Empire.
baghadad
The Persian Empire versus coalitions of Greek city-states led first by Sparta, then by Athens.
The ancient Persian empire was located where Iran is today. Babylon was its capital city.
The Persian Empire and a coalition of Greek city-states.
The Persian Empire versus varying combinations of Greek city-states.
The Greek city-states occupied by, or threatened by, expansion of the Persian Empire in the eastern Mediterranean littoral.
Memphis