The One In Vegas, Part 1 - S5-E23
Plot hole: Ross supposedly can see Rachel while she's walking around naked in her kitchen. Nope: the kitchen is several feet away from the window, and the balcony is also in the way. Ross wouldn't be able to see a thing.
The One With The Embryos - S4-E12
Character mistake: When they are about to start the game, Ross declares that "the first team to answer the most questions wins." This is a nonsensical statement. By that logic, the first team to answer a question correctly would be the winner. It should be either the team that has correctly answered the most questions at the end of the game wins, or the first team to correctly answer an X number of questions.
Suggested correction: While it's a weird way for him to say it, he starts by saying "each team will answer ten questions", so no, the first team to answer a question wouldn't win.
Yes, he qualified that it was a 10-question game, and we as the audience understand going in how the winner is decided. It's just the way he declared how the winner would be decided didn't make sense. It would be like watching an NBA game, and before tipoff, the crew chief tells both teams that the first team to score the most baskets wins. We know what the rules of an NBA game are, but the referee makes a nonsensical statement all the same.
Except there's so many variations of how a team can win a game; best 3 out of 5, win by 2, or a game can even end in a tie. Since this isn't a professional sport where all the players know how a game ends, Ross is basically saying after 10 rounds, if there is a tie, it will go to sudden death with the team with the first correct answer winning, just not in so many words.
Continuity mistake: When Joey wakes up all covered in sand, his right "breast" has a big crack. But when the camera angle changes, the crack has gone.
Suggested correction: The crack comes and goes as he breathes.
The One With The Embryos - S4-E12
Other mistake: Phoebe takes a positive pregnancy test right after she gets implanted with the embryos. There's no test in the world that can tell that fast if someone is pregnant - even the best tests take at least a week after conception.
Suggested correction: Phoebe explains before she takes the first pregnancy test that her body's "always been a little faster than Western medicine". It's a deliberate joke.
A deliberate joke it may be, but we all know Phoebe believes a lot of silly things, and this is one of them. It really didn't make sense for her to get a positive result that fast.
The One with the Thumb - S1-E3
Continuity mistake: Monica's snort, Joey's knuckle cracking, and Phoebe's hair chewing are never seen in any other episode, before or after this one.
Factual error: This is a mistake for two of Ross' three marriages. Ross wasn't even actually "married" either time. With Emily, he goes through the ceremony of the marriage and then Emily immediately disappears. You're not actually married until the certificate is signed and sent in, with the signatures of the witnesses. Which was not happening after that disaster of a wedding. Nor were there any witnesses filling out and sending in certificates after the drunk Vegas wedding either.
Suggested correction: The certificate of marriage is signed and sent in by the person performing the ceremony, and he asked if they wanted to continue with the marriage and it was completed. Secondly the marriage to Rachel they discuss how they paid witnesses to the wedding. I believe they mention Elvis?
Suggested correction: At the Vegas wedding, the chapel likely provided witnesses who took care of the paperwork.
Factual error: When Bonnie shaves her head, Rachel is supposed to have given her the razors (according to Bonnie.) Nope - the kind of razors needed to do that kind of close shave are a very particular kind, and Rachel isn't going to have them unless she also shaves her own head. It also wouldn't make any sense for Bonnie to have used her own razors; she's not going to carry them around with her unless she's planning to use them.
Suggested correction: Considering Bonnie always used to shave her head, it's not beyond the bounds of possibility that she just kept a razor on her in case she wanted to do it again. She's an impulsive type of person, after all.
The One Where Ross Dates a Student - S6-E18
Other mistake: Ross' semester supposedly just ended, and he's handing in his grades. But the episode just before this one was about Valentine's Day, and the one immediately after this one is about spring break, so this episode is happening sometime between mid - February and March/April. It doesn't matter when the show was aired or produced; Valentine's day is still in February. There's no semester that ends at that time of the year, and NYU wasn't on the quarter system then.
Suggested correction: This episode (production code 225567) was produced before episode 17, "The One With Unagi", (production code 225568) and just aired out of order. So this episode happens before Valentine's Day.
Other mistake: In "TOW the cheap wedding dress" the whole episode is about how Chandler wants "The Swing Kings" to play at the wedding, because, at their concert, that is where he realised that Monica was the woman he wanted to dance all his dances with, and Monica goes to great lengths to secure the band. In this episode, the band at the wedding is actually called "Jungle Swing".
Suggested correction: So the band changed their name in the interim. It happens.
The One With The Ring - S6-E23
Plot hole: In the opening scene Phoebe and Chandler discuss how Phoebe knows Chandler is going to propose: by walking in on him whilst he was looking at a ring catalogue on the toilet. However, in the previous episode Chandler leaves the apartment right after he found out about Monica booking the wedding slot (on the answerphone) and doesn't come back until he 'freaks out' at Monica and then it is revealed that it was just put on and Phoebe is in on the plan. It doesn't add up, as Chandler would have had to have been looking at the catalogue between hearing the message and deciding to propose, in the same afternoon when he wasn't even in the apartment.
Suggested correction: Chandler decided at some point before the events of TOW Paul's the Man to propose to Monica (and that's when Phoebe walked in). He likely got Phoebe the passes to the museum (because he's the one that said Ross wouldn't be interested). If you look at the episode again, yes, he is freaking out-ish, but this is to fake out the audience. Also, he's "not the groom" because he hadn't proposed yet.
The One with the Blackout - S1-E7
Audio problem: When Phoebe is counting down to the last candle burning out you can see Joey blowing out the candle, but the sound of his blow is only heard a second later after he sits back. (00:22:50)
The One With Monica and Chandler's Wedding, Part 1 - S7-E23
Continuity mistake: When Monica and Chandler walk toward the middle of the room the camera cuts to Ross talking to his parents saying that he could kick Chandler's ass, Behind them are Monica and Chandler in a different place, listening and laughing to Ross. (00:10:50)
Suggested correction: The shot is continuous. There is no continuity mistake.
The One with the Blackout - S1-E7
Other mistake: Phoebe says she was last to know Monica had a crush on Joey when he moved in and Joey acts as though he never knew this. However, when we see him moving in a later episode, he knows Monica has a crush on him, and he is under the impression that Monica wants sex and so strips off in the living room while Monica is preparing some drinks for the pair. (00:13:10)
Suggested correction: I may understand the situation but please do correct me if I'm wrong. Basically in the flashback episode they saw each other in the hallway and smiled at each other. They would've both got the impression that the other one liked them. However, after the lemonade incident he would have then got the impression that he was wrong and Monica didn't actually like him. Finally, Joey heard that she did like him and got a bit confused and a bit happy at the same time.
The One With The Fake Party - S4-E16
Factual error: Phoebe says in the show that she's three months pregnant. Not only is she way too big for that, but the fetus also kicks for the first time. Women don't feel fetal movement until 16 weeks at the earliest, and for a first pregnancy it may not be until 25 weeks or so.
Suggested correction: Phoebe's size could partially be explained in that she was carrying triplets, though Lisa Kudrow was pregnant in real life, and was further along than her character. Her pregnancy had to be written into the show and the gestation timelines did not match up. Phoebe feeling "movement" could just be her imagination, as her character is supposedly somewhat psychic and often perceives things that are not necessarily discernible to others or isn't even real.