Continuity mistake: J.T.T. is supposedly "getting back" at his brothers by scrubbing their toothbrushes in the toilet. He scrubs the green and yellow brushes quite vigorously inside the toilet bowl. Later on, when the three boys are brushing their teeth, J.T.T. is using one of the brushes that he put in the toilet. (00:03:54 - 00:08:42)
Continuity mistake: When the brothers are showing the film, it shows different scenes where the brothers are attacked - the camera angles change. For instance when J.T.T. is on the moose antlers, his brothers are on the hill running. When they all watch the finished copy, there are about 3 different angles, even one from below and to the side!
Continuity mistake: When J.T.T. is getting chased by the bear - you see him break through the ice in the cave with his foot. Once from the inside and again from an outside shot.
Continuity mistake: When the boys are in the restricted area and the planes are firing at the rocks (or the boys, I'm not sure), they duck for cover. You can see the rocks falling in the background, and it's very obvious that they are in front of a screen because the rocks are falling in slow motion.
Continuity mistake: The boys are in the desert and they get back in the car because of the wild horses are coming at them. They decide to film the horses as they drive with them, in some shots the mirror is down, and then in some shots the mirror is up.
Continuity mistake: After the race in the mud, Marty responds to Marshall when asked if he really thought he had a dumb idea. Marty responds, "Yeah." Marshall then says, "That's cool." The mud on his face is very wet. The camera cuts to Marshall, then back to Marty patting Marshall on the head. The mud is drier now and slightly different than previously. (00:17:40)