The Greeks liked to build theatres on the hills above their cities, later the Romans added to these structures... then even later during the Byzantine and Ottoman period they used these structures and sometimes made surface changes. These were so well built with outstanding acoustics many are used for concerts and performances today. Turkey has over 200 of these amazing structures. I visited one of the most preserved theatres in the world - Aspendos near Antalya along the Mediterranean coast. It is one of the most representative of the Roman age theatres. Many of the historic city sites are over looking the Mediterranean. The Greeks and Romans were pretty smart!
The city of Myra had tombs carved out of the steep hill above the city. These probably date back to the 5th century BC. Also present is a Roman theatre built on the site in the second century AD