In December is usual to find Santas in the shopping malls, they usually give candy to the kids and take pictures with them.
In New Years Eve families get together, they have dinner, play games and also exchange gifts that has being placed under the tree. So is almost as a Christmas celebration but on a different date.
Last year they even made a movie about Santa Claus call "A Cheerful Life" (Neseli Hayat). A Cheerful Life is comedy movie about Riza, a Turk, who is employed as Santa in a shopping mall, however, Riza has no idea what exactly Santa is.
Here is the trailer of the movie. I couldn't find it with English Subtitles :(
A curious fact: Saint Nicholas (born c.260-280 AD), bishop of Myra and the future Santa Claus was born in Patara, Turkey.
That's me last year at Santa Claus Museum.