Factual error: When Oddjob has the Lincoln crushed at the junkyard, it is smashed into a small rectangle, and dropped into the little falcon pickup. Even though the crushed car fits into the bed of the Falcon, it still weighs at least 2 tons. That weight would have dropped the back of the truck to the ground, but the truck doesn't even squat a few inches, let alone being able to handle that load with the tyres it has.
Factual error: It is impossible for Oddjob to have crushed the golf ball with his hand no matter how strong he is. For the way he crushed in his hand enclosed completly around it. It is impossible to crush even an egg that way unless you apply pressure all around. To his credit, Sean Connery wasn't blind to this. He repeatedly complained about this when he first read the script, that the golf ball scene was ridiculous.
Factual error: When Bond goes to open the "nuclear device" he picks up 2 solid gold bars and proceeds to use them to open the casing. Due to the density of gold, it is virtually impossible for a person to lift even a single bar without the use of two hands. Let alone one in each hand, using them to open a box. Regarding the same scene, there was no damage to the gold. Gold being the softest of metals, it should have shown severe damage if used in that manner.
Factual error: The girl is killed by having paint all over her body, supposedly suffocating her. While a widely believed theory at the time, it is not actually true that you can be suffocated by cutting off air to the skin - as long as you are still breathing, you won't suffocate. The only way damage might be caused is that by being unable to sweat/cool, you might get heatstroke, alternatively the toxic elements of the paint might prove fatal, but both of those effects would take far longer to kill you.