Most of the twenty-odd million people who land in Antalya every year go straight to an all-inclusive hotel and see the city through a bus window. That's a shame. Antalya was founded as Attaleia by King Attalus II of Pergamon around 150 BC, on a cliff above a natural harbor, and it has been Roman, Byzantine, Seljuk and Ottoman since. Its old town, Kaleiçi, still sits inside its walls above the harbor, and around the city, within an hour or two's drive, are some of the best ancient sites in the Mediterranean: a Roman theater still used for opera, a mountain city that Alexander the Great couldn't take, and ruins on beaches where you can swim among the columns.
It's also a real city of a million and a half people, with its own food, from beans in tahini sauce to ice cream scorched over a wood fire, and a backdrop few cities can match: the Taurus Mountains rising straight out of the sea across the bay, snow-capped half the year. The sea is warm enough to swim from May to early November. Five days lets you see the old town, the great ruins and a stretch of the wild coast, with time left for the beach.
This plan keeps the old town as a base. Day one is Kaleiçi, day two Perge, a waterfall and Aspendos, day three Termessos and Konyaaltı beach, day four a trip down the coast to Phaselis, Tahtalı, Olympos and the Chimaera flames, with a night in Çıralı, and day five the Düden waterfalls, a hammam and the bazaar. Days two to four are much easier with a rental car or a driver. If you have longer, the best trips further out come after day five. Antalya is also an easy way into Turkey as a whole, with flights to almost everywhere.
Start on any day from Tuesday to Saturday, so that day one, with the Kaleiçi Museum (closed on Mondays) and the city's most famous piyaz house (closed on Sundays), falls on a weekday.