Factual error: Mad Max turns on his engine blower with a switch. The blower in Max's car is driven by a belt attached to the engine itself. The only way to turn it off is to turn off the engine. It is possible to put the blower on an electric motor, but turning it off would simply shut off the oxygen and fuel, both of which are pretty important in an internal-combustion engine.
Visible crew/equipment: When the dog rolls over after Max opens the dog food can, you can see the lower leg and foot of one of the crew wearing a thong/sandal on the rock to the left of the Gyrocaptain's head. The dog looks backwards in that direction towards the end of the shot and seems to be given a command to get up, so it may be the dog's handler staying close. (00:16:36)
Continuity mistake: At the end of the opening chase Max gets out of his car and runs back to the crashed car, if you look at the sign on the left at the bottom there are two large rocks supporting the legs and one in the middle. From the front looking at Max the the two rocks have disappeared and the one in the middle has moved to the right leg.
Continuity mistake: When the cars leave the compound and are chased down, Max and the Gyro Captain watch the following events unfold from the hillside. Max takes the telescope from the Gyro Captain and looks at the compound, outside in front of the ditch is a pink four door sedan, but when Max walks to the entrance the sedan has been replaced by the black Landau from the opening chase and the other car has disappeared. Continuous scene so no time to swap cars.
Continuity mistake: When Max leaves the compound and is being pursued by Wez and Toadie, the ground is flat as far as the eye can see. When Max's car begins to roll, the ground is still flat. Suddenly Max winds up in a deep terrain which came from nowhere and wasn't seen in any previous shots.