As a person who lives in Antalya and working as a tour guide,I would like to share my advices with travellers.You can visit many archaeological sites and ancient cities during your stay in Antalya.Most of them are very close to Antalya and resorts around the city.
A day trip takes you to the ancient wonders of the region. If you want to visit a classical Roman city,you should start with Perge.Perge is only 20 km east of Antalya. If you follow the main road to the east from Perge,you will see Aspendos Theatre.The best preserved Roman theatre in ancient world.Stil used for opera and ballet performances and concerts.Behind the theatre,Aspendos Roman Aqueducts stands.Theatre and the aqueducts were built in 2 C AD.Then the last place to see is Side.Side is a pretty resort with hotels and the beach.But also it was a great ancient city along the Mediterranean coast of Turkey.
You can visit 3 place in one day easily.July and august will be hot but other months are nice to have a day tour.The best way to enjoy and see the highlights of Antalya is a private tour with a local tour guide or a driverguide.
If you drive to the west of Antalya,first ancient city will be Phaselis.Phaselis was founded after Trojan War and the ruins of this ancient city was built around the natural harbour and small bays.After Phaselis,drive west foloowing the main road,you arrive the Olympos ancient city.The ruins of Olympos scattered around the pine trees and a river.Olympos was an ancient harbour for pirates.You can walk to the ruins from a small road in Olympos.
At the end of the path,you will see the nice beach and a natural bay.. You can visit 2 Lycian site in one day.The west coast of Antalya was ancient Lycia Region of Turkay in history.