Lots of very quiet places! Can you give me a bit more of an idea of hwta you're looking for? Do you mean quiet places with hotels to stay in, quiet places with self-catering accommodation? Are you looking for somewhere near the coast or up in the mountains? What time of year are you looking at? Many places are (funereally!) quiet in the winter but busy in summer. There are plenty of quiet places in summer, too, but they tend to be a bit out of the way (obviously!). Our village is quiet most of the time - except for Bank Holiday weekends - even in summer; we're half an hour from Limassol (OK, 40 minutes, but who's counting?) at an altitude of 850 metres, and we have 5 wineries, and there are plenty of similar villages with rooms to let.