Mistakes
In the scene where Geordi and the Captain are in engineering trying to close the subspace hole, you can see a silhouette of the camera in the reflection of the warp core blue lights in the window between the warp core and the console they are working from. See more...
Trivia
Further to the Trivia entry, a control in Engineering is labelled 'Infinite Improbability Drive' as a nod to Douglas Adams' Hitchhiker's Guide To The Galaxy. Also, one of the indicators above a diagnostic bed in Sickbay reads 'Medical Insurance Remaining.' See more...
Movie Mistakes blog
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Other great sites
Star Trek: The Next Generation (1987) - 74 episodes with mistakes
starring Brent Spiner, Denise Crosby, Gates McFadden, Jonathan Frakes, LeVar Burton, Marina Sirtis, Michael Dorn, Patrick Stewart, Wil Wheaton (add more)
Below is a list of every episode on the site for Star Trek: The Next Generation which has mistakes in it - if your favourite episode's not listed, that just means it's flawless! So far... "All of series 1" and similar entries are those mistakes which apply an entire series, but not across the whole show. They're also counted as episodes, so don't be surprised if the total up top doesn't reflect the actual number of episodes recorded for a show. This list is ordered by series, then episode title by default - click the options below to change the ordering.