Continuity mistake: The first time Matthew Perry's in Neve Campbell's apartment before he realises she thinks he's gay, he fills two glasses of wine in two very different glasses. He hands one to her and holds the other himself, in the next shot they hold different glasses, then again in the third.
Continuity mistake: Amy shows up at Oscar's place to ask if she can move in. As his friend's leave, watch closely and you can see that they exit twice. While there is also a hallway opening, you can see that the black guy, Bill, is already halfway through on the first shot. The other two are spaced behind him. The scene cuts away and all three guys are just exiting the apartment door and are close behind each other.