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 with the Dozen Lasagnas - S1-E12
Revealing mistake: When Rachel throws Paulo's clothes over the balcony, they land on the corner of the building, yet the balcony isn't near the corner as there are bedrooms between the place where she throws them and the edge of the building. (00:17:15)
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 Two Parts: Part 2 - S1-E17
Continuity mistake: After Ross drops the cake, when everyone gathers around the table, there is a shot of Monica with no one behind her. In the next shot, Phoebe has appeared next to the lamp behind Monica from nowhere. (00:06:30)
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 with the Stoned Guy - S1-E15
Continuity mistake: At the end of the episode when everyone is comforting Monica, Ross has his hand on her shoulder. In the next shot it is above his knee as he stands up. (00:20:05)
The One with the Dozen Lasagnas - S1-E12
Continuity mistake: When Paulo is about to get his massage, he puts his hand on his hip. In the next shot, he is leaning forwards and both hands are out strecthed in front of him. (00:09:00)
The One Where the Monkey Gets Away - S1-E19
Continuity mistake: When Rachel asks Marcel 'did you poo in the shoe?' Marcel is leaning on Rachel's arm. In the next shot he has vanished. (00:06:10)
The One with the Blackout - S1-E7
Continuity mistake: At the start of the scene where the group disclose the weirdest place they've had sex is, Monica has her hands together on her lap. In the next shot, they are underneath her legs. (00:05:30)
The One with the Sonogram at the End - S1-E2
Continuity mistake: At the very start of the episode, Monica holds up both of her hands. In the next shot her right hand is wrapped around her legs. (00:00:05)
The One with the Candy Hearts - S1-E14
Continuity mistake: Just after Rachel throws a bread roll at Joey, he turns to Chandler to speak to him. Chandler is holding his hands out in front of him. In the next shot, his right hand is touching his face, then in the next shot, it is lowered again. (00:02:55)
The One Where Nana Dies Twice - S1-E8
Continuity mistake: In this episode, Rachel tells Chandler that she thought he was gay until he spent Phoebe's entire birthday party talking to her breasts. But at this point since Rachel joined the group, Phoebe hasn't had a birthday yet; that occurs some episodes later, in "The One With Two Parts." (00:02:00)
The One Where Nana Dies Twice - S1-E8
Other mistake: When Ross is helping choose a dress and shoes for Nana to wear, he is behind the chest of drawers in the cupboard. He looks in a shoebox and finds lots of pink sweet'n low packets, then pulls down another box and lots of packets fall down on him. However, it is obvious that someone is above him showering the packets down, as they are coming from directly above him, not from on top of the door. (00:12:35)
The One with Two Parts: Part 1 - S1-E16
Continuity mistake: When Ross says he's going to be a father, Chandler drinks from his cup. In the next shot the cup is gone. (00:16:55)
The One with the Sonogram at the End - S1-E2
Other mistake: At the beginning when you see outside the museum, there's a man in a red t-shirt looking at the camera. (00:01:50)
The One Where Monica Gets a Roommate - S1-E1
Revealing mistake: As Monica is walking to her room and steps on Paul's watch, if you look carefully, you can see that she just steps on the band. That would not damage the watch. (00:26:45)
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.