Most people know EasyJet fly to Bodrum. They also Fly to Dalaman and Istanbul, so at least some of Turkey is covered. If you want to fly further into Turkey, then an internal flight is necessary. However, as we are in the Bodrum area, we need to concentrate on the flight to Bodrum from the UK. EasyJet fly from the following airports to Bodrum: Liverpool, Bristol, Stansted or Gatwick.
If you prefer to fly to Dalaman, you can fly from Bristol, Stansted, Gatwick and Manchester. Istanbul is serviced by Gatwick and Luton. So. plenty of options. You can check the flight time table and book a flight at http://www.easyjet.com