Termessos – at 34 kilometres from Antalya – was fiercely independent. They fought off Alexandre the Great in 333 BC and the Romans accepted their independence rather than fight them in a 70 BC treaty. The setting is great, hidden in rugged mountains, and from the theatre the view is very fine. I particularly liked the large graveyards with lots of tombs, many of them toppled over by earthquakes over the ages.
These are some building of which the function slipped my mind, either sports facilities or storage.
Tim Spalding from Portland, Maine put a link to this page, he has a very fine site on Termessos, his favorite city in Turkey, including some 50 annotated links and 100 thumbnail pictures.