Orchomenos. Orchomenos is one of the oldest and richest cities of ancient Greece. It was the setting for many early Greek myths. It is a rich archaeological site that was inhabited from the Neolithic through the Hellenistic periods. Today it is situated in a low area. Here one can visit a Byzantine church and a Mycenaean tomb. The ancient acropolis has ruins of temples, a theater and other buildings. Don’t leave Orchomenos without tasting the delicious trout, known throughout Greece, or the equally famous fragrant melons.