If you consider yourself a rock climber, boulderer, or mountaineer, then Aladağlar National Park in southeastern Turkey may have to be your destination of choice. One of the country's most off-the-beaten-path stretches of high ground (peaks like Kızılkaya and Demirkazık top out over 3,700 meters/12,140 feet), your best bet is to fly into Adana and take public transport into Camardi, which may best serve as your base of operations if you aren't into camping in the mountains.
Rock climbers have two incredible choices while in Aladağlar. The first, Cimbar Canyon, is a short walk from the Demirkazik village, and is chock full of F5-F7's, with plenty of bolted routes for well-prepared climbers to take on. The other climbing section is in Kazikli Canyon, just south of Cukurbag village. Despite being more recently developed, there are actually more routes through the limestone, many of them single pitch. Boulderers should also take note of an area called Kocakayalar, which is located in the village of Üçkapılı: there are innumerable cottage-sized boulders found here and an ever-growing list of problems that have been mapped out.
Hikers and alpinists also have a number of peaks to tackle in the region, the highest of which can be successfully ascended and descended in no more than two day's time. Depending on the season, you'll be encountering everything from floral bouquets and goat herds to heavier snow nearer the limestone peaks. Although many routes will just need a good pair of hiking boots and weather-appropriate clothing, an attempt to ascend Demirkazık will necessitate some climbing gear. Any peak is worth the effort in this region, for this is a world where the usual tourists don't tread and where the only people you'll meet are kindly locals and fellow adventure-seekers.
If you aren't into climbing anything, then the Kapuzbaşı Waterfalls are an attractive set of falls that spray straight from a cliff face near the village of Büyükçakır; or even just stay the night in a local pension and breathe the incredible mountain air in any of the aforementioned communities. It's got to be better than the canned air and tired routines of an office job.