'Star Trek' 2016 Postage Stamps According to the U.S. Postal Service, the four stamps are supposed to be inspired by "classic elements" of the first television series of the "Star Trek" franchise, which aired between 1966 and 1969. The show followed the exploits of the USS Enterprise and its crew, helmed by Capt. James T. Kirk. Its goal was to fulfill a five-year mission by looking for new civilizations and new worlds, and by boldly going "where no man has gone before."