StarTrek is Roddenberry's major achievement, and a major one it is. Imagine the show being on television in its time, between 1966 and 1969, the original pilot episode, 'The Cage', having been produced in 1965 already, with a different crew.
StarTrek itself had been an asset at the times of resurrecting it to the TV screen, but at the time of Voyager, the X-Files was in its second season, with its growing success making other genre shows possible.
StarTrek is about hope and a strong belief in the benevolence of the future, so a farther future may have less conflict, be so advanced that you'd be too detached from today's political and social problems.
StarTrek: The Next Generation is set nearly a century after The Original Series and features a new starship, the Enterprise-D, and a new crew led by Captain Jean-Luc Picard, played by Patrick Stewart.
Currently, StarTrek: Hidden Frontier, which is a continuation of the timeline after the Dominion War from the perspective of a station and fleet in the Briar Patch, and StarTrek: New Voyages, a "continuation" of the original StarTrek, are prominent fan series.
StarTrek conventions have become popular, though now are often merged with conventions of other genres and series, and fans have coined the term "Trekkies" (or "Trekkers") to describe themselves.