Zabriskie PointGoofs
Continuity
(at around 58 mins) When the girl is having a joint, the image is flopped flip as they talk. The audio and action is continuous but the video is flopped and the boy is also seen lying down whereas he was sitting in the earlier shot.
When Mark is buzzing Daria with the airplane, she at one point scrawls out some writing in the sand by the side of the road. Judging by the light and long shadows, it appears to be in late afternoon. Then we see Mark drop Daria something from the plane, which she runs to pick up. But now the light - and much shorter shadows - indicate that it is much earlier than the late afternoon of the previous shot.
When the plane is buzzing the car, power lines are to Daria's left except in one overhead shot when the lines are to her right.
Revealing mistakes
When Mark is shot dead after landing the plane, there are no bullet holes in either the fuselage or the glass/windscreen of the aircraft.
Crew or equipment visible
When Mark is stealing the airplane in L.A., the shadow of the camera equipment mounted atop the engine compartment can be seen briefly as he makes a turn while taxiing.
Errors in geography
Zabriskie Point, in Death Valley National Park (California, USA) is not actually the lowest-elevation point in the United States. That would be Badwater Basin, at a depth of 282 feet below sea level, which is also located in Death Valley National Park about 20 miles away.