There is 4 km to the Supermarket – Daglig Brugsen (COOP) in Pedersker (Pedersker Hovedgade 58). They have almost everything you need. You can contact the Manager on tel. 0045 5697 8013 and get an agreement on delivery of goods.
There is also a Daglig Brugsen in Snogebæk. Netto can be found in both Åkirkeby and Nexø.