There is no mud visible on Page when she is star-watching, even though she fell and got her legs covered with mud in the previous scene.
Although the movers knock the penis off the statue, it's actually still visibly attached.
When Max meets Barbara at the outdoor cafe, a silver car parks in the background twice. The same car drives past them twice as they sit down.
At the auction, Tinsey stops just inside the door to look at a statue. While standing there, a couple comes in the door, passing him on his right (the woman is wearing a black and white print dress). Although the couple walked completely past him, the next shot shows a close up of his face, and the same couple is back at the door, coming in again.
When Jack joins Max in her hotel room she intentionally leaves the door slightly open (in order for Page to be able to enter later), but when Jack wants to leave a little while later, the door is suddenly closed.
When Tensy's body falls off the balcony and lands on the ground below, it's a very obvious dummy (the leg that falls out of the sheet).
When Max is hanging on to the dead body of William Tensy, he moves his leg so that he can stand on it better.
When Dean Cumanno gets on Jack Withrowe's boat he shoots his gun off into the water but there is no recoil, muzzle flash or smoke from the gun and there are no indications the bullets are hitting the water.
Near the end of the movie, when Max pulls over the car, she turns the steering wheel to the right and keeps it there. The car however, makes a gentle diagonal motion and stops parallel to the curb, revealing it to be on a trailer or dolly.
When Jack takes Jane into their honeymoon suite, the door closes behind them without anyone closing it. In the corner, if you watch the doorknob, there is a hand that you can see that closes the door for them.
When Page is pretending to be the maid applying for the job, you can easily see her microphone wire on the back of her neck.
When Max pretends to be 'Olga', judging by her accent and name, she is supposed to be Russian; at one point she addresses Tensey as 'Babooshka' in an affectionate tone. When in fact 'Babooshka' is Russian for Grandmother. However, a plausible excuse for this would be that Max was unaware of its actual meaning.