Continuity mistake: When Baltar turns to face the two setting suns, we see the lower one at the left has what could be a boat in its reflection on the water. The higher one on the right is over a mountainous area on the horizon. The next shot is of Baltar in close-up, then the next returns to the horizon to show us Baltar's view, which shows just ONE setting sun. The one on the left has vanished though there is room enough for it to have been seen in this shot. (00:40:15)
Continuity mistake: All shots of the Jeep Cherokee prior to it crashing (and during the process of flipping over) show that it wears factory-optional silver steel wheels of a 'star' style. But as the wreck settles upside-down, it's wearing plain steel wheels (like those found under full wheel covers or on a spare tire).
Plot hole: Throughout the series, auxiliary characters are always far too willing to give all kinds of information to Tru. Doctors and registrars constantly give her privileged information about patients and students. Tru is often able to retrieve information like addresses and phone numbers from people's service and utility companies, when normally you must verify your own information before they will even talk to you about your account. Of course there can't be an episode if Tru doesn't quickly find the person who asked for her help, even though she doesn't usually know much more than their name, but it's still a bit conspicuous.
Plot hole: When Hulk and Banner have been physically separated by the nutrient bath, they are both wearing tattered pants. Given that Hulk and Banner were previously occupying the same body, this should not be possible. Hulk was the one that went into the nutrient bath, so if Banner's body was separated from Hulk, then Banner should be naked.
Plot hole: After Storm's attempt to escape the Genoshan prison is thwarted, she ends up in the ocean right at the shoreline of the beach, where she is captured by a Sentinel. Aside from the fact that it makes no sense for a Sentinel to be hiding in the ocean in the event that a mutant tries to escape the prison, there is absolutely no way that a two-story tall robot could hide in the ocean right by the beach, as the water would be way too shallow. You can even see that the water level only goes up to the Sentinel's ankle area when it is standing upright in the ocean. (00:03:15)
Other mistake: A gangster pushes a dog into a well and the dog can be heard splashing around. The man's wife is furious and several people are unable to retrieve the dog. Superman tunnels into the ground and into the bottom of the well and emerges holding the dog. Both he and the dog are completely dry.
Revealing mistake: When the children are possessed by the 456, they're supposed to be frozen and stare blankly ahead. But during the second possession, as the camera is panning across a school playground, a boy on the far right is looking directly at it. As it moves closer to him, he swivels his eyes back to where they're supposed to be. (00:16:30)
Factual error: Ray, Sara, and Kendra are Left Behind in 1958. However, 10 weeks later Sara and Kendra are playing the board game "The Game of Life." The modern version, as seen, didn't come out until 1960 (previously it was called The Checkered Game of Life and doesn't resemble the modern version).
Deliberate mistake: When Johnny is watching the news footage of the Hulk battling Thing, all the footage is merely clips from that portion of the episode, including parts of the battle that were happening before the camera crews even showed up. (00:02:50 - 00:07:20)
Factual error: When Tom has decided his scout group will have to go for the food and then his look for his son later, they are stood on a green. There is a war memorial dedicated to both World Wars, 1914 - 1918 and 1939 - 1945. That's got to be in Canada, as the USA didn't enter either war until later than those dates. (00:28:00)