Renting a house on one of the Greek islands has long been a classic spring and summer escape for Americans, as well as for northern Europeans. An Arcadian landscape of olive groves and lemon trees, limpid sea, healthy food, friendly local people and reliably perfect weather all contribute to the allure. And in the time of coronavirus, a self-contained vacation with family or friends has obvious appeal. The choice is dizzying, both in the number of islands and the types of property available. However, starting points are provided by two of our recommended hotels — Amanzoe and Elounda Mare — both of which offer glamorous villas of varying sizes.