The One with the Monkey - S1-E10
Continuity mistake: Just after Chandler explains the situation to Janice, she goes off crying, and Ross takes a photo. The flash is much brighter than it should be - the screen's whited out to disguise a jump cut - after the flash Chandler's noticeably further back than he was before. (00:17:45)
The One with George Stephanopoulos - S1-E4
Continuity mistake: When Rachel explains to her friends about her job, for the first half of the scene there is a cushion behind her back. When Rachel says, "This is what I'm doing now, I've got this job." The cushion disappears. (00:07:40)
The One Where They All Turn Thirty - S7-E14
Continuity mistake: In one of Monica's flashbacks, her hands move between shots with no time to do so. (00:10:50)
The One With Christmas in Tulsa - S9-E10
Continuity mistake: After Chandler says "Merry Christmas" to the gang, they all respond - Phoebe just goes "blargh blargh", and has her hands in her lap. They all turn to look at her, and suddenly her hands are resting on the sides of the stool. (00:10:30)
The One Where Ross Moves In - S5-E7
Continuity mistake: At the very start of the episode, when Joey's showing Chandler National Geographic, Chandler has his left hand up by his face in one shot, then when the angle changes they're both clasped in his lap. (00:00:05)
The One Where Paul's The Man - S6-E22
Continuity mistake: When we hear the recording of Chandler answering the phone, it sounds nothing like what Chandler actually said. (00:13:00)
The One Where the Monkey Gets Away - S1-E19
Continuity mistake: When Rachel tells Ross that she lost Marcel, the bottle of wine has the cork sticking half way out. In the next scene which continues directly on from before as Ross and Rachel argue, the cork is back in the bottle. (00:10:15)
The One with the Dozen Lasagnas - S1-E12
Continuity mistake: During the song at the beginning of the episode, keep your eye on Ross's mug. He is holding it in his lap, then there is a shot of Monica with Ross's empty saucer on the table. In the next shot, the mug has appeared on the saucer. (00:00:30)
The One with the East German Laundry Detergent - S1-E5
Continuity mistake: Right at the start in the coffee shop Chandler's legs are always switching position depending on the angle. (00:00:05)
The One Where Rachel Has a Baby, part 1 - S8-E23
Continuity mistake: At the beginning, when Rachel first arrives at the hospital, she is talking about the hospital not being out of rooms. She points to herself with her right hand saying 'What if I was the president?' Then when the shot changes to include Ross she is pointing to herself with her left hand, then it cuts back to just Rachel and she is using her right hand again. (00:01:25)
The One Where Rachel is Late - S8-E22
Continuity mistake: The first time Phoebe and Monica are making bets on when Rachel will give birth, Phoebe has a bottle of water in her hand and is holding it near her stomach. She puts it to her mouth to drink some, but in the next shot, the bottle is near her stomach again. (00:07:00)
The One The Morning After - S3-E16
Continuity mistake: When Phoebe, Chandler, Monica, and Joey are eating the organic wax, Monica has her feet up on the wall with her legs crossed left over right, but in Joey's closeups when he asks about needing a new walk, Monica's legs are crossed right over left. (00:18:00)
Continuity mistake: When the six friends arrive at the beach house notice the sand between shots. At first it's all wet due to "flood damage", two seconds later the sand's dry. (00:05:30)
The One With Monica's Thunder - S7-E1
Continuity mistake: When Phoebe is singing for the first time, the door behind her is open or closed, depending on the shot. (00:05:00)
The One Where They All Turn Thirty - S7-E14
Continuity mistake: In the shot of Tag giving Rachel a scooter, her shirt is fine. The next shot of Rachel, she has a bow from the present on her shirt. The next shot is of Chandler, then next shot of Rachel the bow is gone again. (00:11:55 - 00:12:25)
The One With The Inappropriate Sister - S5-E10
Continuity mistake: When Phoebe is being removed from her "bucket spot" she starts to take off the signs she has put up. With the camera close up to her, she rips one off, then the camera changes to a wide view, and she is suddenly holding two signs. (00:16:40)
The One With The Triplets - S5-E3
Continuity mistake: When Alice runs towards Frank in the waiting room, there are at least two people sitting on the couch next to Frank. Immediately afterward, when Frank and Alice lie down on the couch, kissing, these people have disappeared. (00:16:30)
The One with the Fake Monica - S1-E21
Continuity mistake: When Monica, the fake Monica and Rachel are in the girls' apartment talking about the two Monicas auditioning for CATS, Monica (real) has a baguette and a bowl of sandwich filler on the table. In one shot of all three of them, she opens the baguette and starts filling it, then the camera goes in for a close-up of the real Monica and she opens the same baguette and starts filling it again. (00:10:50)
The One with the Ick Factor - S1-E22
Continuity mistake: In the scene where Chandler and Phoebe come into the coffee house from Phoebe's first day as his secretary, Phoebe makes no discernible effort to order - but after Chandler says it pays to know the man who wears his shoes the shot cuts to her holding a large latte cup which was not visible earlier in the scene. (00:07:00)
The One With Ross's Grant - S10-E6
Continuity mistake: When Monica comes round to Phoebe's, Phoebe reminds her that she's got to clear out stuff. In this wide shot Monica has both hands by her sides, but when it cuts to her finishing saying "oh right", her right hand is now gripping her bag's strap. (00:05:00)
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.