Revealing mistake: Before Phoebe agrees to carry Frank and Alice's' triplets, she already has a baby bump.
The One With The Ballroom Dancing - S4-E4
Revealing mistake: During the end bit, before we get to see Phoebe when she is being interviewed at Lara and Jeni's Massage, if you look closely at the name of the massage parlor, you'll see that, although the camera shakes and bumps, the words stay on the very same spot on the screen. Obviously the canopy was blank and the name was digitally added later.
The One With Chandler In A Box - S4-E8
Revealing mistake: When Chandler is in the box and Ross accidentally places his hand over the 'air-hole' you can see Ross feeling for the hole for a while before he finds it. (00:12:35)
The One Where They're Going To PARTY! - S4-E9
Revealing mistake: When Phoebe is looking at the front page of the "Chelsea Reporter," Monica says her restaurant review is on the back page. However, Phoebe doesn't turn to the back page, but merely flips the paper over, looking at the bottom of the front page (and finding the review there). (00:07:30)
The One Where They're Going To PARTY! - S4-E9
Revealing mistake: When Monica and Phoebe are in Central Perk, Phoebe is looking through the list of ideas that Monica has come up with for the use of Phoebe's van. If you look closely (most obvious just after Phoebe says "let's plan the wedding reception") you can see that every single page of the notebook Phoebe is holding has the same thing written on it, instead of lots of different ideas that Monica is meant to have had. (00:17:10)
The One With Phoebe's Uterus - S4-E11
Revealing mistake: Phoebe already has a visible baby bump before she even agrees to get pregnant.
The One With Joey's Dirty Day - S4-E14
Revealing mistake: After Joey is caught in Charlton Heston's shower, he wraps a towel around his waist and sits on the arm of chair. You can see the line of the Speedo underwear under the towel. (00:15:55)
The One With All The Haste - S4-E19
Revealing mistake: When they are using cards to bet on the Knicks tickets, watch Joey carefully as he goes to reshuffle the pack from behind the arm of the chair. It's obvious that there are two decks, and he is in fact switching them over. (00:13:40)
The One With The Worst Best Man Ever - S4-E22
Revealing mistake: In the scene when they confront the stripper at Chandler's office. Ross starts shouting about his grandmother's ring, and as Chandler says "way to be cool, man", you can see Joey ducking behind Ross, covering his mouth with laughter. A brief cut away, then back and he's standing with the others again looking serious. Widescreen version only.
The One After Ross Says Rachel - S5-E1
Revealing mistake: When Phoebe phones Emily's step-mother to say she is Ross' doctor, she looks out the window behind Phoebe. The buildings are moving slowly from side to side. (00:04:10)
The One After Ross Says Rachel - S5-E1
Revealing mistake: When Chandler and Monica (and later Joey) are talking on the plane on the way back from London, the little display screen (showing a map of the Atlantic and coastlines) in front of Monica's seat shows the little grey plane indicating their position and direction. The plane is facing east, as though they are travelling towards London, but they are supposed to be flying back to New York. (00:14:45)
The One With The Triplets - S5-E3
Revealing mistake: When the doctor says, "Here comes the head," it is very obvious that there are feet coming out. (00:14:50)
Revealing mistake: When Monica and Rachel apologise to Danny, as he shuts his door for the second time the set wall visibly shakes. (00:07:55)
The One Where Ross Moves In - S5-E7
Revealing mistake: When Joey and Chandler go in the bedroom to talk, Joey suggests they play a game of foosball. There is no ball when they start playing - quite noticeable when Joey " scores" a goal.
The One Where Ross Moves In - S5-E7
Revealing mistake: During Danny's party you can see Monica's apartment through the gap between the door and the wall, despite the party taking place on a lower floor. This is because they just reused the set for the hallway to save having to build a new set for the "lower floor."
The One With All The Thanksgivings - S5-E8
Revealing mistake: When Joey has the turkey on his head, and Chandler is by the door, look at the wall to Chandler's right. It's a "wild wall" - i.e., a movable wall put there to extend the set outward an additional few feet, since the camera normally doesn't see that far forward. The wall angles oddly away from the room, and you can see how the line and pattern of the hallway floor continues into the room. (00:06:15)
The One With Ross's Sandwich - S5-E9
Revealing mistake: Joey's bucket of chicken is, rather obviously, a KFC bucket with "Finger Lickin' Chicken" stuck over the original KFC lettering - you can even see the picture of Col. Sanders. (00:17:10)
The One With Rachel's Inadvertent Kiss - S5-E17
Revealing mistake: When Ross is doing his "Watching TV" bit, there is a brief shot of the blank screen that he is sitting on the sofa pretending to watch. In the screen's reflection, it is clear that the sofa is empty. (00:03:55)
The One With Joey's Big Break - S5-E22
Revealing mistake: When Joey and Chandler are traveling in the car, the background is a very obvious projection. (00:11:45)
Revealing mistake: When Joey and Phoebe are driving back, the outside is obviously a projection. (00:10:15)
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.