While most of the Star Trek shows are indeed quality shows they are not all about making journeys. There is one exception (and few debatable ones) where the series is not focusing on moving around the galaxy: the Star Trek Deep Space 9. Instead of set on a starship it follows the stories of a mostly stationary space station.
Even though the Star Trek franchise isn't infallible it stays true to it's name better than it's arch nemesis, the Star Wars. There are a lot more shows and movies without wars than there are Star Treks without a trek.
The difference gets even bigger when looking at the whole title. While there is only a few occasions when they travel to an actual star in Star Trek there is zero wars waged between stars in Star Wars.
At least in Stargate they travel through a gate into a new starsystem. Even in that series set on a starship.