YouTuber TheMiro59 built this flying model of the USS Enterprise NCC-1701-D, which was Captain Jean-Luc Picard's ship in Star Trek: The Next Generation. "The [ship] is a fully functional RC model [illuminated] by super bright LEDs and optic fibers."
As you'll see in the video, it doesn't really fly very well, but it flies never-the-less. Maybe it's just slowly falling... You decide. The video takes you through the process of how he built it, but skip to the 3:00 mark to watch it fly and crash, killing its crew over and over again.