How about this TOS device ... the nakedly obvious deus ex machina. Scenes like this one:
(There are five minutes left in the episode, and the Enterprise is caught in some inescapable situation. They've tried everything, and nothing's worked -- they're headed for certain doom.)
KIRK: Mister Spock ... Am I correct in recalling that if fluorocarbons are bombarded with modulated and opposing subspace emissions, they resonate and amplify the energy, causing a distortion in the space-time continuum?
SPOCK: In theory, captain, but it has never been tested.
KIRK: So, it we beam a can of Lieutenant Uhura's hair spray into the middle of the Big Bad Alien Thing, then simultaneously hit it with a tractor and deflector beam, with just a little more power on the deflector, it will blast a hole through which we can escape?
SPOCK: That's very unlikely. In fact, the odds are 3,525,453,234 to 1 against.
KIRK: But it is theoretically possible?
SPOCK: Yes, it is theoretically possible. It is also theoretically possible that had you pulled downward on that zipper on the Gorn's back in "Arena," that you would have found Jimmy Hoffa inside. Both are theoretically possible, but neither one is bloody likely, and I certainly would never risk a five-hundred-gazillion dollar ship and four hundred lives on either of them. But that's just me. Perhaps you, with your human "intuition" ... (snickers) ... see things differently.
KIRK: All right, then -- Uhura, go grab the biggest can of VO5 you've got, and report to the transporter room ...
... and we all know what happens next.