Star Trek: The Exhibition is currently travelling around the country, presumably before Star Trek: The Experience reopens at its new home Neonopolis Mall later this year. The Exhibition is a seriously scaled back version of the The Experience, without the live actors, large scale stories in the form of rides and adventures. It's pretty much just a museum style display of some of the more common Star Trek vintage items.
They have this scale "authentic replica" of the Enterprise in the first main hall, along with displays giving mundane details about the various Star Trek series and movies. There are also display cases with phasers, tribbles, tricorders, etc.
The Guardian of Forever greeted me. I have no memory of any events that may have occurred as I walked through the gate. Hmmm, I wonder what adventures I had.