I do expect, however, that most of the uninhabitated Greek islands are too small to be useful for this. You would need 10-20 different stadiums, 2 km straight water to hold rowing events, and wouldn't want to have marathon runners, competitors in the 50 km walk, or those taking part in the cycling road race to do 1 km rounds. Let's say 100 square kilometers to host all the courses (except for sailing; there's plenty of sea for that), bare minimum.

Also, it would be a challenge to feed the competitors and the spectators on an island that size. Greece isn't known for its green islands, and looking at that list, I notice that, for example, Tinos and Paros, at around 200 square kilometers, have a population of less than 10,000.

I would think you would need something like Kos to host the Olympics, and even that would be an enormous challenge. The 'normal' population of around 33,000 would increase by 20,000+ competitors, officials and a zillion journalists, and you likely would have to ferry or fly in half a million spectators every day, and all of them would need food and drink, and working 3G.

Look at the BER disaster, it was supposed to open 2007 and most likely won't open until way after 2017.

I believe building a permanent Olympic site in Greece would bring similar delays...

[0] https://en.wikipedia.org/wiki/Berlin_Brandenburg_Airport [1] https://en.wikipedia.org/wiki/Elbe_Philharmonic_Hall

Frankly, it is probably better to create a new island than trying to find an unused one.