You should definitely check the main market of Skiathos Town for local products, mainly agricultural and pastries. You can buy olive oil and olives, aromatic honey, delicious amygdalota and the local tablespoon sweet, with almonds. 

When you visit the Monastery of Virgin Mary do not forget to buy wine, which is made by the monks. You can also buy the local tsipouro, delicious flavored liqueurs and authentic handmade pasta.