See all shopping in Penneshaw Penneshaw for: Adventure, Food And Dining, Art And Culture, Nightlife, Spa, History, First Timers, Family, Romance, Shopping Oysters About Oysters. At Kangaroo Island Shellfish on Tangara Drive, American River - just opposite the wharf. Fresh American River oysters available in season as well as a selection of other aquatic produce including (normally) marron and abalone. Add to Wish List