This CNN article covers a number of relatively obscure Italian islands that have remained free of COVID-19. Those who like to explore off the the beaten path may find some potential new destinations here. Although the article focuses on the COVID-free situation, there's some descriptive information about each of the islands, which include Linosa, the Tremiti Islands, and the Aeolian islands of Vulcano, Filicudi and Alicudi.
https://www.cnn.com/travel/article/italys-covid-free-islands/index.html