The one quote you hear associated with Star Trek‘s original series more than any other is, “Beam Me Up, Scotty”. The problem is that nobody in the original series, the animated series, or the movies ever said that.
In the Original Series episodes “The Gamesters of Triskelion” and “The Savage Curtain“, Kirk said, “Scotty, beam us up”.
In the animated episodes “The Lorelei Signal” and “The Infinite Vulcan“, he said, “Beam us up, Scotty”.
In Star Trek IV: The Voyage Home, Captain Kirk says, “Beam me up, Mr. Scott” and, “Scotty, beam me up.”
In Star Trek Generations the captain says, “Scotty, beam them out of there.”
Long after the phrase was permanently embedded in pop culture, it did eventually get some actual Star Trek related use, however.
William Shatner eventually used those exact words in the audio adaptation of his novel Star Trek: The Ashes of Eden.
James Doohan later chose to title his autobiography, “Beam Me Up, Scotty.”