The computer MacGyver copies files from—as well as the table it rests on—switch between shots.
When Kate shuts off power to the building, she types the command in to the computer "close all circuits" when in fact it should be "open all circuits". Closing a circuit means to complete a circuit so that power flows and open means to cut a circuit so that power doesn't flow.
The bartender during the sequence where MacGyver talks with a one-armed doctor switches sides of the bar between camera angles.
When MacGyver finds Brian's car he reaches in the window to take the keys. When Sara comes back for the car the windows are up.
MacGyver picking the lock with the lightbulb filaments has been confirmed as possible by the Mythbusters.
When MacGyver drives away from the cemetery, he puts his sunglasses on as the car starts. Then, his glasses are gone, and he puts them on a second time.
MacGyver and Jill dangle over an acid bath and breathe the fumes for an extended period, in a confined space. They're totally unaffected despite the fact acid fumes are highly toxic.
When MacGyver and Dr. Jill Ludlum are figuring out how to escape from the receding floor, MacGyver takes off his shoes and then takes off his pants. He uses his pants to hang from a pipe that runs across the room. However, when MacGyver and Dr. Jill Ludlum are hanging from the pipe, MacGyver has his shoes back on.
MacGyver weighs 175 pounds and wears boxers, not briefs.
As Jack flies, his plane has no logos on it, but after he lands there suddenly are circles on either side on the nose.
As MacGyver maneuvers his hang glider for a landing on a rock, the hat he's wearing changes.
When the Cadillac finally broke down, it stopped against a mound of dirt and weeds. Yet when MacGyver pushes it forward, the mound is not there.
When Talbot picks up the trail of the Cadillac, there's a steady stream of oil behind them, and leading ahead to the Cadillac. However, when MacGyver pushes the Cadillac downhill and hops in, there's no sign of oil leakage on the road.
The Cadillac that gets struck by gunfire seems to show no evidence of the attack later in the episode.
When Victoria prepares to shoot Phillips, there's clearly no bullets in at least three of the seven chambers of her gun. There's no reason she'd be carrying a half-empty gun in a situation where she plans to shoot people. She's only fired one shot to date, which means even if she forgot to reload there should only be one empty chamber.
Sherman Parish, LA is fictitious.
MacGyver's Jeep has a winch on the front which disappears and reappears throughout the episode.
MacGyver uses his spare tire at the gas station to replace his flat, but as he drives off, a fully-drivable spare is still mounted on the back of his Jeep.
When MacGyver and Elaine are first entering the shipyard, MacGyver's left tail light is out. Later on in the episode, both tail lights are working again.
Avalanches at ski resorts don't occur as easily as seen here. Marked ski runs are deliberately built clear of potential risk areas. Any ski resort (and the nearby town as well) that could be devastated by an avalanche caused by a single gunshot simply wouldn't have been built in the first place. Even if extreme weather conditions made an avalanche as likely as seen here, the ski resort would have been closed.