Yikes that shuttle takeoff looks clumsy. Could it be Dr. Sevrin's flower children in their stolen shuttlecraft at the end of "The Way to Eden"? Or maybe Matt Decker took a few nips from the bottle before tackling the planet killer.
It was created for Doomsday Machine and as I recall they thought the slightly wobbly take off was to show Decker's deranged/obsessed and thus inattentive mindset at the time.
I thought I asked in an earlier post but maybe I'm delusional-- In the remastered "Errand of Mercy", when Sulu reports that "a large number of Klingon ships has just arrived", do we get to see them? All the original effects had was what looked like a reverse animation of a photon torpedo hitting Enterprise.
Yes they show a number of Klingon battle cruisers and they created new VFX for the Klingon weapons, but in keeping with the original style.
If you're interested in comparisons, back circa 2006 when these were being in batches by CBS Digital for weekly syndication, I made weekly articles that included comparison images between old and new VFX.
Click on the pix/video article links in the listing of episodes. Most if not all of the videos don't work any more due to server changes, etc.