Continuity mistake: When the girls are saying goodbye to their father, Phoebe hugs him around the neck, then lowers her arms while they talk. When her father says "About anything," her left arm jumps back up to being around his neck, and in the next shot, it's down at the side again.
Plot hole: In 'Centennial Charmed' Paige orbs to another reality where she loses all her powers. Leo tells her the this is because she was never called as a witch in this world, but Paige had most of her powers before she was called because of her whitelighter blood, so she should retain these. Leo says that Paige has assumed the life of this reality's Paige, but then adds "...or at least the life she would have lived if she hadn't been killed". If alternate Paige had lived she would have had Whitelighter powers, even if she didn't know about them, so our Paige should also have them.
Plot hole: Phoebe and Piper seem surprised at the fact that a white-lighter can impregnate someone, because they are dead. Piper says "how does a white-lighter get somebody knocked up?", but when she went to the future she saw herself with Leo's baby, and Leo told her that he hadn't clipped his wings.
Continuity mistake: In the teaser, Phoebe has a vision of a murder. When she first sees the shadow of the attack, the assailant is holding his victim down with his right hand while stabbing with his left. Then when the vision focuses on the Medusa head tattoo on his forearm, it is the right arm that is stabbing.
Continuity mistake: At the beginning of the episode they show Piper running up the stairs to her house in the rain. The umbrella she has is black, with a colored ring around the edge. When she enters the house the whole umbrella has changed to colors surrounding the whole umbrella now.
Factual error: Considering how the sisters and Cole every now and then - especially during seasons 3-5 - find themselves in some churchyard or cemetery, it should be noted that there are no such places in San Francisco! Except for the original one at an old nunnery, from before the city was founded, and the Presidio Military Churchyard, all graves were moved in the first half of the 20th Century to the cemeteries at Colma, a few miles south of SF. This was done due to the sanitary risks in case of earthquakes, and the lack of space for churchyards downtown.
Other mistake: After Piper freezes the first crime scene that Cole and Phoebe (aka Frankie and Lulu) have hit, Piper unfreezes Darryl by touching him but at the beginning of the the episode when Piper and Cole are touching the car that Piper froze, to stop it from exploding after a car crash, while trying to help the woman inside, the car never unfreezes. This is somewhat inconsistent through the entire show a lot of times they can unfreeze things by touching them and then a lot of times they can only unfreeze things by Piper using her pointer finger to either unfreeze a head or a foot or some other body part.