Continuity mistake: When Oddjob drives Mr. Solo to the airport, he drives him in a black car. After he shoots him and takes him to the scrap yard, then he has the car crushed in the compactor. When it comes out, it's the compacted remains of a car painted a lighter shade of blue.
Continuity mistake: When Goldfinger shoots and breaks the plane window, chaos runs havoc: curtains flutter wildly and a strong wind hurling inside makes objects fly around. Yet right when Goldfinger is lifted up the air (an obvious chroma effect) the curtains and even Bond's hair stop moving. This happens between one frame and another, it has nothing to do with physics or pressure inside the plane.
Plot hole: After Pussy Gallore's airplanes spray "Delta-9" onto Fort Knox and the soldiers fake the effects, why does the army let Goldfinger and his nuclear device so far into Fort Knox? Wouldn't it be much safer to intercept him somewhere at the fence? He would be surrounded by thousand of soldiers either way, but without having the opportunity to plant his nuclear device in the building. The army even awaits the signals that the device is armed.
Plot hole: When Bond goes into the kitchen for the champagne, Oddjob is waiting for him. But where was he hiding? Oddjob couldn't have hidden in the bedroom without being seen. The kitchen is separated from the bedroom about halfway by a metal grate and not a wall. Oddjob could have only been hiding in front of the cupboards since we can see Bond from the bedroom POV all the way to the refrigerator. There is no possible way Bond wouldn't have seen him or even brushed against him. There is lighting in the kitchen, which we know because Bond is illuminated when he walks in; he casts a strong shadow on the floor during and after his fall (not from the refrigerator); and is illuminated when he stumbles out. The pan shots of the kitchen show no places where Oddjob could have concealed himself - and he is not exactly on the thin side.
Plot hole: The planes spraying the gas are flying too high and too fast for the gas to be able to have any effect on the soldiers on the ground as quickly as it does. While we later find out that the soldiers were faking the effects, the too-rapid response should have raised the bad guys' suspicions.