Continuity mistake: When Zohan is in the cab, in the background you see that a truck suddenly appears at the right side.
Continuity mistake: When Zohan Pinches the little kid, in one shot he reaches his left hand towards the kid, but in another shot, he uses his right hand.
Other mistake: When Zohan and the Phantom are comparing shoes while fighting the enemies, Zohan has two different trouser colors on his legs.
Continuity mistake: When they throw the Neosporin on the window it lands approximately two feet in from the right edge in the shots taken directly from in front of the store. In the in between shot that's taken from an angle, the blob is now right next to the frame of the window above the "Closed" sign instead.
Deliberate mistake: When Zohan and Phantom are seen on the Palestine beach competing about which one is the tougher, they let themselves get bitten by a piranha to prove their point. While piranha are by legend very vicious fish, its presence here is a two-fold mistake, for a) piranhas are found in South America, and b) they are fresh water fish. (I know that this is for pure humour, but the writers should have picked a rabid crab or something; that would be more appropriate for the setting.).