Backlash of the Hunter - S1-E1
Other mistake: The bad guy collapses after drinking what Sara gave him, but in the close-up she managed to squeeze barely 1 drop of the substance and it went right on top of the horizontal ice cube. It must be the most powerful narcotic in the world, putting KO a mountain of a man within seconds with a single drop that arguably didn't even mix with the drink. Had she put a couple drops in, it would have straight up murdered him, then.
Backlash of the Hunter - S1-E1
Other mistake: Jerry Grimes follows Rockford to the theater, sits at the bar, orders bourbon and water and waits for Jim to come out of the bathroom. Jim meanwhile set up a trap for him, which somehow does not affect anyone else, and Jerry ends up getting roughed up. He then drives off to this other joint, where he sits at the bar...which happens to be the exact same bar with the exact same posters as the other one.
Other mistake: Both Rockford's appointments are at 8 o'clock. He shows up for the one with the mysterious person; gets beaten up, dragged to a warehouse (presumably remote, from what it is shown), beaten up some more to the point of spitting out a tooth, he is then at LAPD, where everyone hates him and definitely does not prioritize his case, he makes Becker search for the warehouse's registration, which needs for him to call in favours, and he turns then up for Tawnia's appointment at 9. With all the stuff that happened, and with the typical LA traffic, it'd already be something to be a mere one hour late without all the rest in the middle of it. Even his wound is kinda healed in that short time.
The Countess - S1-E4
Other mistake: The first view of The Countess from Rockford's camera is at an impossible angle that does not match the position on the terrain (nor the footage we see later). (00:03:30)
The Countess - S1-E4
Other mistake: Rockford films the car driving off, then there are a few seconds of pause, with James Garner not keeping the camera still anymore and tilting it in different directions, before someone unseen bellows at him "What are you doing?" When he reviews the footage with his client in his trailer, the voice arrives instantly and there's no jerking the camera around. (00:06:20)