I will discuss asymmetric orbifolds of the type II string in six dimensions preserving N = (1,1) supersymmetry. There are eight such theories, four of which have no vector multiplets and so are inequivalent UV completions of pure N = (1,1) 6D supergravity. Two of these, in turn, admit alternative versions with a discrete theta angle turned on in a way that changes the spectrum of strings, making it BPS incomplete. Out of these six string islands five are new. I will argue that these theories complete the landscape of 6D N = (1,1) type II strings.