Since there's no options available, I will write you all of the empires that conquered the Greek City states in modern day Turkey.
- Persia;
- Ancient Macedonian Empire (Macedon Empire);
Persia was the first empire that managed to conquer the Greek city states in modern day Turkey. It was a much larger and much more powerful empire than all of the Greek city states combined, so they didn't had big problem in taking them over. Also, it is worth to notice, that while the Greeks expected that the Macedonians and Paeonians will make troubles to the Persians and weaken them, sot hat they will have it easier later on, both Macedon and Paeonia just let the Persians through in order to avoid conflict.
The second empire that managed to take over the Greek city states in modern day Turkey, after their liberation from the earlier Persian invasion, was the Macedon Empire. After the reformations that Philip II of Macedon (Alexander III of Macedon's/Alexander the Great's father) made to the kingdom, he managed to conquer all Greek city states (apart from Sparta with which he had a treaty) and put them under Macedonian control. This continued during the time of Alexander III of Macedon (Alexander the Great), and later with the remnants of his empire controlled by his successors, until they were conquered by the Roman Empire. The Macedonian conquering of the Greek city states actually put an end to the existence of Greek city states.