The most famous Star Trek catchphrase

Did Kirk ever actually say "Beam me up, Scotty"?

Sometimes, the Mass Memory Discrepancy Effect works in "reverse", whereby most people are aware something is well known for not happening, yet many claim it actually did.

There is no record of Kirk ever actually saying "Beam me up, Scotty", although many parodies and anecdotes exist which only serve to ingrain this meme further into popular culture - even non-fans know this phrase.

It seems this one is illogical.

And we all know who we should consult about that ;-)

Wikipedia

The phrase even has its own Wikipedia page:

Though it has become irrevocably associated with the series and films, the exact phrase was never actually spoken in any Star Trek television episode or film.

Despite this, the quote has become a phrase of its own over time. It can be used to describe one's desire to be elsewhere, technology such as teleportation, slang for certain drugs, or as a phrase to show appreciation and association with the television show.

Scotty gets the last word

It's rather fitting that James Doohan, the actor who played Scotty, used the phrase as the title of his autobiography.

This isn't really a Mandela Effect because it's clear that although most people know the phrase, they also know it wasn't actually said. It is, however, an MMDE because that is a broader classification which doesn't take account of the the reasons for the mass misremembering. 

This class of Mandela Effect comes under the condensed synopsis type, where a single quote or scene comes to represent the entire work in a snippet, and it doesn't actually matter whether that snippet really happened or not, because that's not it's purpose.