Farpoint Station turns out to be built on the back of an enormous jellyfish-like alien, about the size of a city.
Q is an alien being that seems to be able to do anything. He decides to "put humanity on trial" and judge their actions throughout the series.
The miraculous production capabilities of Farpoint Station turn out to be a giant alien that had an intelligence that only the psychic capabilities of the ship's counselor, Deanna Troi, could detect.