Migros is one of the supermarkets in Akyaka that you can find more or less everything you need.
Kozlukuyu Bazar is around 7 km away from Akyaka but it is much bigger. You can find here lots of Vegeteables and fruits and also garments.
Akyaka Bazar is on Atatürk Street just opposite of the Post every Wednesday till 16:00h. You can buy fresh vegetables and fruits. It is also a place for locals to meet and eat traditional pancakes.