It may be small, but Fethiye Museum is an excellent place to get a grip on Lycian history, especially if you're planning to head on to attractions such as Tlos and Letoön. Brilliant information panels clearly explain Lycian culture, and the exhibits of pottery, jewelry, and stele are beautifully displayed.
The museum's pride and joy is the Trilingual Stele (inscribed with Lycian, ancient Greek, and Aramaic) found while excavating Letoön. This stone helped archaeologists to finally crack the Lycian language.