Well I think 'my island' is perfect for a quiet un-touristy family holiday. It is called AGISTRI... and is 55 minutes in a catamaran from Pireaus... or a slower journey via the Island of Aegina, by car ferry-(1 hour), then a tiny ferry to Agistri which takes 15 mins, or the water taxi which takes 10 mins. Great location for a day trip to any of the following islands - Hydra/Poros/Spetse/Athens/Aegina -sometime during your holidays.
Agistri is perfect for getting away from the tourist zone, but you want to stay in the Village of Milos. There are two main villages (three in total) on the whole island. The boat usually stops at Skala village first, and all tourists and day visitors (mainly greek) get off there. The rest of us, who know better, stay on the tiny ferryboat until it gets to the next village of Milos, where there are a few family run hotels, but on a much smaller scale. This is more 'personal' place to be and far more interesting. To walk to Skala village will only take 20 to 25 minutes depending on speed of your shoes! The island is a huge rock sticking out of the water, covered in Pine Trees. There are lots of walks around the island itself.

I suggest the Milos Hotel (with pool/restaurant/cooking facilities in some rooms) 60 seconds from the Port of Milos, or the Hotel Flisvos 30 seconds from the small beach of Milos, with a small park next to the hotel; they also have a house for rent. Both are run by very caring and highly recommended families.
We have a house on the island, which unfortunately for tax reasons we cannot rent out, but as we lived in Athens for ten years, we know pretty much a lot of places, and we certainly still think of this place as the paradisos of Greece!! Check it out on google for more info. If you want to know more, call me on 5206824
Angel.