Continuity mistake: At the end of the opening chase the landau rolls and Max skids to a stop as he passes the truck. Look at the cab - it is facing down the road, but when Max gets out the cab is now facing across the road in front of the skid marks the car has just made, indicating that the interceptor should have gone through the truck.
Continuity mistake: In the final chase scene, Lord Humungus' clothing keeps changing (in fact it's clear that the actor playing him is switching). He switches between bear arms, to wearing a sort of fur vest, to a full length sleeve shirt under the vest. (01:20:00 - 01:29:00)
Continuity mistake: The amount of dirt on the interceptor and engine blower changes throughout the opening chase scene from very dirty to clean on close up shots, and dirty again on the sides.
Revealing mistake: When Max has the head on at the end you see a shot from in front of the truck to show the impact. Look at the cars and bikes behind that should be moving as they are chasing the truck - the motorbike riders and cars are stationary; the motorbike riders even have their feet on the ground.
Other mistake: The amount of vehicles leaving the compound at the end doesn't make sense and the amount of fuel they carry is far less than they could carry in the tanker. The amount of vehicles they use apart from the bus being used as the gate are never seen parked in the compound throughout the film, they just appear when needed.
Continuity mistake: After Toady realizes what the burning fuse is for, and the explosion occurs, his hat is blown off, and he starts to shield his face with his arms. After the cut, the figure that gets blown apart has the hat on, the legs below the knees are at wrong angles, and it's facing into the explosion rather than being turned a quarter way around.
Visible crew/equipment: After Papagallo tells the warrior woman to get rid of Max you can see Max's' V8 being towed into the compound and reflected on the side you can see a cameraman holding a camera then a second later as the shot changes to the side of the car a boom mic is visible also reflected on the car.