In fact, Tartu is actually the oldest city in Estonia and dates back to the 11th century. This means that Tartu is truly one of the most important destinations to visit in this Baltic nation. So to make the most of a visit here, make sure to include these best things to do in Tartu. One constant surprise throughout Estonia is its wealth of refined architecture , and Tartu is no exception. Since , newlyweds looking for good luck have visited the fountain and its kissing statues.