Visible crew/equipment: In the scene where Sulu flies the helicopter and accidentally turns on the windshield wiper, look closely at the bottom of the wiper and you can see the crewman's finger manually moving the wiper.

Continuity: Notice the candle on the table in the Italian restaurant scene during Capt. Kirk and Dr. Gillian dialog. It changes height depending who is talking.

Continuity: In the second last scene when the bird of prey crash lands under the Golden Gate bridge, Kirk orders Spock to blow the hatch so the crew can escape. The camera is pointing up inside the ship to the outside of the ship and you can see the top of an industrial shed

Continuity: The old blue Chevy pick-up that the whale biologist drives changes year models in different scenes. You can tell this by paying attention to the grille.

Revealing: When the Bounty takes off from Vulcan and flies away, no shadow is visible despite the fact that it is a very sunny day.