just to add what publius said, there was still some hype about X-33/Venture Star when Enterprise was first filmed and it was easy to still hope that something would come out of it. The X-33 had really difficult problems getting conformal composite tanks to work with the liquid hydrogen. They never solved the problem, but if they went with metal, even lithium-aluminum like the shuttle external tank eventually used, the already thin margins for Venture Star would not have worked. That was one of the problems with X-33 as it eventually was offered (and it was a lifting body so it's appropriate here, I guess). It crammed too much high tech into what it was testing. The earlier idea was great. But X-planes work well when they test one idea.
One by one, and in pretty rapid order the great space X-plane programs got cancelled or mothballed, then cancelled. X-33 was done before Daniel Golden was out as NASA admin. By the time the first episode of Enterprise showed OV-106, the idea of a lifting body space shuttle was already dead.
X-34 followed suit, having never flown. interestingly though, the FASTRAC engine program that went with X-37 was sold and the buyer, a small upstart company named SpaceX, would go on to use the tech to build the Merlin rocket motor. That worked out pretty well.
X-43/X-37 was continually revived until it found a home. And now the X-37b's do whatever it is they do. They must do it well. They sleep in the old Space Shuttle OPF buildings where Columbia, Challenger, Discovery, Atlantis and Endevour once were processed. Good company to keep.
X-38 was possibly the saddest tale. Cancelled just as it was ready to serve as a lifeboat for the ISS, for nothing better than budgetary reasons. It might have saved the lives of the Columbia astronauts. When it was retired, a pirate flag was flown as it was removed and put in storage, a rulebreaker until the end.
Sad rock song about the X-38.