If you want to combine Greece & Turkey, here's what we did a number of years ago: flew to the Greek island of Samos, ferry to Kusadasi (Ephesus), bus down to Bodrum, ferry back to Kos (Greek island) then on to Rhodes.
All the places were great and we got to see sites of 3/7 of the ancient wonders in short order. (Mausoleum of Mausoleus was in Bodrum -- not much left now)
Even though Samos & Kos aren't the most famous of islands, we really enjoyed them.