Walk up hilly Uzun Çarşı Sokak, the Roman-era road that locals call Slippery Street, to reach the King's Tomb, a superb example of a 4th-century BC Lycian sarcophagus, which is mounted on a high base and has two lions' heads on the lid.
If you're seriously into tomb-viewing, you can also make the strenuous walk to view the rock tombs cut into the sheer cliffs above town.