Should you be craving Turkish food while in Tokyo, these are some places that I can recommend.
Shinjuku san-cho-me 新宿三丁目: Bosphorus Hasan - this place is very good. They have a 2nd branch nearby in ni-cho-me, just as good, but service can be slow at the 2nd branch. The Turkish pizza is good.
Pleasant atmosphere. The ni-cho-me branch is a bit small, but comfortable nonetheless.
Ikebukuro 池袋: Antep - this place is pretty good. I don’t know if I’ve tried the baklava here, but they have it.
Shibuya 渋谷: from the big street crossing, head to the left of Starbucks and through the crowded alley way. On the left corner will be a MacDonalds; on the right corner is a little kebab/gyro place. The chicken gyros and iskendar plate are highly recommended. I don't know how authentic they are - maybe not very; but they're really good.