The wine in the big Kipa is good we have tried a few bottles there and we found it the best.
However, if you go to Kayakoy and visit the Levissi Garden they have a huge wine cellar and they let you have a wine tasting, so you might find one you like.
The Champagne is Turkish and not good. We brought Champagne at the Duty for when my son got married so we could use it for the toast. Even the people at the wedding venue confirmed that the Turkish Champagne is bad.