The One Where Monica Gets a Roommate - S1-E1
Continuity mistake: At the end of the episode when Chandler says "I'm in Las Vegas" Rachel starts to pour his coffee. In the next shot they have moved apart instantly and Chandler is putting his cup down. (00:28:05)
The One Where Ross Dates a Student - S6-E18
Continuity mistake: When Rachel and Joey are at Joey's apartment throwing wet paper towels at the entertainment unit, Phoebe comes in to ask Rachel to switch back to Monica's apartment. During the scene, Phoebe is standing in front of the entertainment unit, and the wet paper towels' number and positions change between shots. (00:18:10)
The One With Ross's Grant - S10-E6
Visible crew/equipment: When Joey turns the video off, the end of the set is visible in the TV. (00:15:10)
The One Where Monica Gets a Roommate - S1-E1
Continuity mistake: When Phoebe cleanses Ross' aura, he holds up both hands to stop her. In the next shot his left hand is lowered. (00:02:50)
The One Where Monica Gets a Roommate - S1-E1
Continuity mistake: When Monica asks Ross, 'Do you want me to stay?', her hands are in front of her, not touching Ross. In the next shot, her right hand is holding onto Ross's wrist. (00:09:10)
The One with the Sonogram at the End - S1-E2
Continuity mistake: When we first see Ross at the museum, the woman he works with is holding a rock. In the first shot, she is holding onto it with her right hand at the bottom and just before the shot changes she turns away from Ross. In the next shot, she is facing Ross again and her right hand has moved on top of the rock. (00:02:05)
The One with the Blackout - S1-E7
Continuity mistake: At the end of the episode when Chandler watches Jill leave the bank, his face is pressed up against the centre of the glass door. In the next shot his face is leaning on the metal edge around the glass. (00:21:20)
The One with the Boobies - S1-E13
Continuity mistake: When Phoebe is talking to Roger in Central Perk when she tells him her friends don't like him, her hair tie is half way down her back. When Phoebe tells him she doesn't think he's creepy, her hair tie is just above her shoulder. (00:19:05)
The One Where Nana Dies Twice - S1-E8
Continuity mistake: Just before the group of guys at the funeral shout about the football, there is a glass of wine next to Monica's mother which is about 1/3 full. After a brief cut away, the next shot shows the glass is almost empty. (00:19:05)
The One Where Emma Cries - S9-E2
Continuity mistake: When Joey is seen apologising in front of the hospital room door, we can see a pink wall only about 2 metres behind him. However, in every scene before that which features the door, we can see it leads out to a large open area.
The One With The Worst Best Man Ever - S4-E22
Visible crew/equipment: After Phoebe gets very annoyed by the leather pants gift, when she stands up and walks to the bathroom the boom mic can be seen at the top of the screen, just as she pulls the crepe streamer down.
The One Where Rachel Quits - S3-E10
Continuity mistake: In the very first shot of Chandler and Rachel sitting on the couch, Chandler has his legs crossed left over right, but it cuts to the closeup and his legs are crossed right over left, then it's back to left over right.
The One The Morning After - S3-E16
Continuity mistake: When Ross is listening to Rachel's message on his answering machine, only the open pill bottle sits on the counter beside his mug, but then the bottle cap and cotton filler suddenly appear next to it. (00:03:00)
The One The Morning After - S3-E16
Continuity mistake: While Monica's preparing her shake in the blender she asks Rachel about the anniversary dinner, and when Rachel tells her that she and Ross broke up, Monica throws the blender lid and it flies over the counter, but in the next shot the lid is back in Monica's hand, and then it vanishes again. (00:01:10)
The One With The Apothecary Table - S6-E11
Visible crew/equipment: After Rachel tells Ross that Phoebe hates Pottery Barn, when she tells him that Phoebe will be there any second and they need to cover the apothecary table, a crew member can be seen at the left side of the screen.
The One With Chandler In A Box - S4-E8
Visible crew/equipment: When Monica and Tim are on the balcony, we can see the end of the set wall, as well as studio equipment and lighting, at the left side of the screen.
The One With Rachel's Inadvertent Kiss - S5-E17
Visible crew/equipment: After Monica tells Rachel that a guy from Ralph Lauren called and they want her for a second interview, when Rachel walks toward the TV and then when she stands in front of the TV, we can see a few tapes marks on the floor. One of those tape marks is also visible in one of Joey's closeups.
Continuity mistake: While Mama Joey is looking for Chick Jr. and Duck Jr., the things pinned to the bulletin board beside the door have vanished when Monica and Chandler walk in, but after Monica walks out to check on the twins everything's back up on the board like it was before.
The One With The Fertility Test - S9-E21
Visible crew/equipment: After Chandler tells Monica the results of the fertility tests, when it cuts to Phoebe as the receptionist says good morning to her, the camera can be seen at the left side of the screen.
The One Where Rachel Has a Baby, part 2 - S8-E24
Visible crew/equipment: After Rachel asks Joey to get the other box of tissues under Ross' coat, when Joey drops the ring box then picks it up and opens it we can see the end of the hospital set floor and wall, behind the chair.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.