And the interesting wiki on Tall Ships (several articles on the subject and a good place to start). Good luck for further researches.
http://en.wikipedia.org/wiki/Tall_ship
As you'll notice, for several countries you'll find a fair number of such ships and I have no doubt (again) that several more are to be around. Their main advantage being that for their servicing, you don't need the advanced shipyard you have to maintain for mordern engine ships.
Several would have been destroyed but many would survive as they were not primary target. However, much will depend on the nukes and on what you can make up of these vessels.