Plot hole: The innocent who gets Piper's powers uses them to freeze Piper and Phoebe. But even though Piper and Phoebe no longer have their unique powers, they are still good witches; they were still able to scry, and we have encountered good witches on the show in the past who had no powers at all. And by the rules of magic within the show, good witches do not freeze.
Character mistake: Katya (as Nina) says that Pandora's Box is "a gift the gods gave to Prometheus." But the Box was given to Epimetheus, not Prometheus. Epimetheus ignored the warnings of Prometheus, his brother, and accepted Pandora herself, who bore a box, as a gift from the gods.
Continuity mistake: When Piper is talking to Cole, they show the other Piper on the couch. Whenever you see Piper talking, you can see that the other Piper's legs change position throughout the shot. They go from being straight to both legs bent to one leg bent to straight.
Plot hole: When Paige and Leo are talking in Leo's office at magic school, Paige compliments Leo for being such a good headmaster. She mentions that after being headmistress for a year, it's harder than it looks. If she became headmistress after they killed Gideon (i.e. when baby Chris is born) and she's been headmistress for a year, that would make Chris at least a year old. Chris is obviously not one year old just yet.
Continuity mistake: At the end of the episode it is not Alyssa riding the horse to the café. Alyssa has a tattoo on her right ankle, which when we see when camera pans up the right leg the person riding the horse has no tattoo on the right foot, but when Alyssa rides away you can see the tattoo she has going round her right ankle.
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Continuity mistake: In the episode "Something Wicca This Way Goes," Phoebe's shoes change between shots. Near the end, while fighting Zankou in the basement, he hurls the sisters to the ground and Phoebe is shown wearing sandals. When she stands up, she is now wearing sneakers.
Continuity mistake: In episode 7-7: "Someone To Witch Over Me," Piper is killed by the demon Sarpedon's metallic claw. When the claw strikes her, she falls back with her arms behind her, landing partially on her palms, allowing her to complete the fall by sinking gradually to the ground. Then there is a cut to a closer shot, and we see her fall again. The second time, she falls directly into a more prone position with her arms raised and the backs of both hands facing the ground.
Continuity mistake: Midway through the episode, the Seer is looking through the sisters' photo album. Several of the photos actually include everyone who was present for the events depicted, leaving nobody to take the photo. And since the events were shown in various episodes, we know that no photo was taken at those times by any automated method.
Continuity mistake: In the second to last scene where Piper tests her powers on the lamp and Phoebe is cleaning, you can see Piper's bra strap when she blows up the lamp but when she turns to face Phoebe its covered. Through out the scene it's covered and exposed without her ever adjusting her shirt.
Plot hole: When Grams is summoned for Chris's wiccaning, she reminds Piper of "the talk" they had when she was a teenager, about how important and special being a witch was to Grams and how it would be to the girls someday. But in the first episode, the girls have no inkling they are witches, and when they find out it's passed through the maternal line, they wonder if Patty or Grams was a watch-suggesting that they aren't sure or have no memories of them as witches. I know there was some memory altering at certain points, but why would Grams have a conversation specifically about how great it is to be a witch and then erase that?
Plot hole: When Leo tells Piper that he believes he found the demon Sargon in the Book of Shadows (which may be the demon Count Roget made a faustian deal with), Piper looks at it and says that they vanquished this demon five years ago. Which would've meant they vanquished the demon with Prue. When in fact the only demon that happened with was Zahn in season 6 episode 6, "Soul Survivor," and they did that with Paige.
Plot hole: When the man and woman receive Piper and Phoebe's powers, the lady freezes the man and Phoebe due to fear, but good witches don't freeze, so if Phoebe froze (which she shouldn't have due to only her active powers lost) then why did the man? If he had Phoebe's powers then he isn't mortal and therefore should not freeze.
Other mistake: In both scenes in which Phoebe's hair is cut, her hair is up, with very little loose hair. There is no way that the amount of hair shown to be cut in both scenes could have come from her head. In the first scene, it is very clear when the demon cuts her hair, it is a few tendrils, yet when he is shown with Imara, it is a very measurable amount of hair. The super speedy guy who cut her hair the 2nd time, when she was Imara, was too quick to see the actual amount cut, but again, because of her hairstyle, he could not have cut the amount he shows to the Charmed Ones in the next scene.
Continuity mistake: When Paige complains about the ringing in her ear, she's rubbing her temple with her right hand and holding a coffee mug with her left. In the next shot, which is cut too fast for her to have moved, the hand on her temple has jumped to holding the coffee mug. The mug has also jumped to in front of her mouth.
Continuity mistake: When Black Jack Cutting's parrot delivers the invitation to Piper and Phoebe, it drops the invitation on the window sill. When Leo goes to pick the letter up, it moves closer to him than it was before (in particular, watch it relative to the parrot's left foot).