I'm a huge fan of "open air" museums, where you can usually wander around old buildings and get a feel for how a place used to be. So when we saw the Estonian Open Air Museum listed in the booklet for our museum passes, we simply had to hop on the bus and visit.
The Tallinn museum is set in a beautiful wooded park, with a choice of several paths leading between the reconstructed houses (and churches and windmills) of various periods. The park also abuts the sea, and you can look across at the modern city and passing ships for a sense of perspective. I really loved it, and would definitely go back.
Of course, given how much we enjoy relaxing in different cafes, we also had to have a drink in the tavern - which was a pleasant environment, although I don't think that our coffee was terribly authentic!
You may also be interested in my recent interview with Jean Sasson, over at my book blog, covering her experiences as an American woman in the Middle East.