Three days give a short Turkey trip room to breathe. The most popular 3 day Turkey tour spends two nights in Cappadocia, enough for two full guided routes and a free morning for the balloon flight or the viewpoints.
Other three-day tours join two regions with domestic flights: Cappadocia and Ephesus, Cappadocia and Pamukkale, or Pamukkale, Ephesus and Cappadocia in one fast loop. On the Aegean side there are Ephesus and Pamukkale tours from Istanbul, Izmir airport or Ankara, and routes that add Troy or Gallipoli on the way south. A budget option reaches Cappadocia by overnight bus from Istanbul.
Open a tour to see each day, the flights or buses it uses, the hotel classes and the price for your date.