At least for one ride, I can not say that it is unique, and that ride is
Star Tours.
While I'm not biased between the two productions (the entire ST vs. SW argument that has been going on for nearly 50 years), this is where Star Trek: The Experience has Star Tours beat. Both are essentially the same ride, but the experience had with Star Trek was a hell of a lot more immersive and outright fun versus Star Tours, which tended to gear the ride towards the kids. The target audience may be on purpose because of how Star Trek is more adult oriented (read: social commentary), but in terms of the ride, the visuals, storyline for the ride, and the overall experience much more immersive than Star Tours.