When Spock is trapped by a boulder, both McCoy and Boma had fallen to the ground running back to the shuttle (McCoy in front of the shuttle door and Boma to the left of McCoy as you view from outside the shuttle). First McCoy gets up to help Spock and is shown to be in front of the the shuttle's strut (where it is marked "NCC-1701/7" with a red horizontal stripe on either side running the remainder of the length of the strut) which is located to the right of the shuttle door. The next shot shows Boma responding to Spock and getting up from the same position. Both McCoy and Boma had moved to the right of their original falling place.
When the Galileo shuttle craft is first shown in the hangar, in the remastered version, the Columbus is at the bottom right of the shot. The shot from behind the Enterprise as the Galileo leaves the hangar shows the hanger empty - the Columbus is no longer seen.
Latimer was hit in the back with a spear and fell forward. Spock pulled the spear out. But when Boma and Gaetano picked up the body, Latimer was face up. They would have had to roll him over first.
When Spock leads Gaetano and Boma out to scare the creatures, they are attacked. The creature on the rocks above them is notably without his spear, indicating it was his spear that narrowly missed the team. However, the spear was enters from the right of the screen, which would be impossible if thrown from above. Additionally, the creature then throws his shield down aiming for the team. As the shield enters the shot, it is relatively normal sized, usable by humans. When the team inspect it closer, it is almost as big as the 3 men.
While in the shuttlecraft, Scotty is laying face down working in an open compartment in the floor when McCoy walks up behind him holding his phaser backwards in his right hand. When he exits the shuttle a few seconds later, he is holding the phaser correctly.
McCoy states that the partial pressure of oxygen on the planet is 70 mm of mercury, with nitrogen at 140 mm Hg and trace elements comprising the rest, calling it "breathable", whereas in fact it is far from breathable - the overall pressure is very low and the oxygen level is far too low.
The shuttle-craft Galileo would surely have seat-belts. No wonder several crew-members on board were injured when thrown out of their seats during the rough landing on the ape planet. There also doesn't seem to be any reason why the seats tilt forward allowing the crew-members to fall forward so easily.
The Enterprise diverts to investigate a quasar, except that there are no quasars in the Milky Way or any other galaxy remotely close to ours. The error was likely due to the lack of knowledge at the time as to what quasars truly were and how far away they actually were, namely super-massive black holes consuming the gas and dust present in the center of active galaxies many millions or billions of light years away.
When the spears strike the rocky landscape, its real nature can be seen. One spear strike causes it to wobble, and another cuts the landscape, causing some of the stuffing to come out of the set.
In the closing credits of the show, the title for Script Supervisor is misspelled "SCPIPT SUPERVISOR".
When Gaetano and Latimer first exit the shuttle, the shuttle doors open. As the doors open 3/4 of the way they stop for a second - the left side moving further than the right side - and then continue all the way open. This was due to either a problem from the hard landing, or more likely, the door movers not able to open them smoothly.
When Spock is trapped by the rock, in the close-up he is actually holding the rock in place, when he should have been trying to push it away. When McCoy and Boma pull the rock off, they have a hard time keeping it from wiggling like foam.
Spock, McCoy, Gaetano, and the Yeoman are investigating outside the shuttle. When Spock tells Gaetano and the Yeoman to return to the shuttle he stumbles on his words. "Doctor McCoy... you and Yeoman Mears return to the ship. Assist uhhh Mr. Scott in anyway possible. We'll be back shortly."
When Latimer is hit with the spear, he arches his back and cries out a split second before the sound effect of the thud representing the spear hitting him is heard.
Boma returns to the shuttle to tell Mr. Spock that he is ready for Latimer's burial service. Before he enters the shuttle doors open and a hand can be seen pulling the left side upper door (as viewed from inside the shuttle) open. A few moments later as he exits the shuttle the same hand can be seen closing the the bottom part of the door up (before the two top doors slide inward).
The protective eye goggles for the stuntman playing as the Taurean Neanderthal (hitting the roof of the shuttlecraft with a boulder) are visible.
When we first see the Galileo landed on the planet, a huge green screen is visible instead of the background.
Spock is reluctant to use deadly force in order to deal with the giant humanoids and instead instructs his men to use their phasers to fire at 2 and 10 o'clock (not hitting them) in an attempt to scare them off. McCoy, Latimer and Boma are all in favor of killing a few of them instead. Apparently no one thinks of using the "stun" setting on their phasers. Stunning one or two of them would be more effective than firing to their left and right and yet would do no permanent damage,
In sending out personnel to investigate unknown and possibly dangerous cosmic phenomena, it is very poor judgment and totally unnecessary for Captain Kirk to send out his Science Officer/Second-in-Command (Spock), his Chief Medical Officer (McCoy), and his Chief Engineer (Scotty) in a shuttle-craft, adding to it the fact that the Enterprise is on a tight schedule to deliver important medication to a rendezvous point.
When the copilot of the shuttle Galileo complains that the instruments are going into chaos, Lt Boma notes that it is to be expected given the effects of the quasar. If the collapse of the avionics on board are to be expected, why is everyone so surprised when it crashes on the alien planet? In fact, why was it even launched when it clearly would be unable to cope with these effects?
The Galileo's mission is to investigate the quasar. Spock is the obvious choice for command of the mission, Boma probably is an astrophysicist, McCoy is there in case someone gets hurt, Latimer serves as co-pilot, and Yeoman Mears is there to take notes--but there's no real reason for Scott (no engines in a quasar) or Gaetano (a command division, not science division, crewman) to be there.
Spock states they need to remove all possible weight to lift off. Much is jettisoned, but the seating remains, even the empty seats.
Both when the Columbus returns to the Enterprise & the Galileo escapes Taurus II, "reimagined" bow-front views show 2 (transparently fake) crew heads in the port/starboard windows. From the shuttle interior, this would be possible only if they were standing, since in the seated position the 3 windows are above crew personnel heads.