In Alanya you will find some very nice located Restaurants with an excellent kitchen. They offer international dishes and typical turkish food.
If you are searching for the best Pizza in Alanya you have to go to to the Oba beach area. There you will find the best option, closed beside some M Micros supermarket.
If you like Kebap, search for a place which offer you typical Adana Kebap which is really worth it.
If you have some apartment where you have the option to cook by yourself and you want meat or fish, go to Metro Market, you will get the best quality there every day.