Certainly, in the United States there was much social change as the Civil Rights Movement began. This movement and its concomitant violence extended throughout the globe. For instance, Nelson Mandela and his organization,, called for a constitutional convention, threatening violence if their demands were not met. Other countries in Europe examined their positions on race, as well.
With the Vietnam Conflict ongoing at this time, there was much anti-American feeling in other parts of the world as well as protests against this was on American soil. Throughout the world, the 1960s were a time of change and unrest.
Nowadays, the democratic way of life and capitalism in the U.S. as well as in European countries along with terrible national debts threaten to change the current ways of life.
Major changes happened in both eras, but they are different kinds of change. In the '60s, it was more of a cultural change. Traditional ways were being left behind and colonies were becoming independent. Today's changes are more economic. Countries that used to be poor are becoming richer and more important. Both are important changes, but they are very different from one another.