The One with the Dozen Lasagnas - S1-E12
Continuity mistake: In The One Where Ross Finds Out he's having a boy (series 1), just before Rachel lets it slip, she is sitting on the edge of a chair eating a cookie. Watch her dress, it changes back and forth from being undone from the waist up, to only having two buttons open at the top. (00:19:55)
The One with the Stoned Guy - S1-E15
Continuity mistake: Just before Chandler tells everyone he quit, he holds out both hands in front of him. In the next shot, his left hand is by his side. (00:02:05)
The One with the Stoned Guy - S1-E15
Continuity mistake: When Chandler says he can't work out what he wants to do working at his job, he is standing behind the sofa. In the next shot, he is in front of the sofa sitting down. (00:02:50)
The One with the Stoned Guy - S1-E15
Continuity mistake: In the scene where Monica is explaining to Rachel that she has hired her friend Wendy as her waitress, Rachel is holding a water bottle in one hand and the cap in the other. Monica moves towards her and Rachel is pointing her hand in Monica's direction and then in the next shot we see Rachel from another angle and her hand is holding the cap on top of the bottle too fast to have happened in normal time. (00:08:40)
The One Where Chandler Doesn't Like Dogs - S7-E8
Revealing mistake: When Rachel and Tag are in the hall at the end of the episode, the tan mark from Jennifer Aniston's wedding ring is visible on her hand. (00:19:15)
Continuity mistake: When the friends put down their keys, the keys' positions change when the camera pans the apartment. (00:25:30)
The One with George Stephanopoulos - S1-E4
Continuity mistake: When Joey jumps over the sofa to give Ross the tickets, one of the pages of Ross's magazine is sticking out towards him. In the next shot it is gone. (00:02:40)
The One With Monica and Chandler's Wedding, Part 2 - S7-E24
Continuity mistake: The way Phoebe holds her flowers when told to smile changes depending on the angle. (00:04:30)
The One with Mrs. Bing - S1-E11
Continuity mistake: When they are all eating at the restaurant and Mrs. Bing is telling Rachel how to write a book, the amount of food on Rachel's plate changes between shots without her touching it. (00:06:55)
The One Where Monica Gets a Roommate - S1-E1
Continuity mistake: At the end of the episode, as a customer in Central Perk asks Rachel for more coffee, Chandler has set his cup of coffee on the table. In the next shot, he is holding it again. (00:28:05)
The One Where Underdog Gets Away - S1-E9
Continuity mistake: When Rachel gets her mail off Monica she puts it down on the couch and picks up a sealed envelope. The camera cuts and the envelope is now open with no time to open it. (00:07:25)
The One with Two Parts: Part 2 - S1-E17
Continuity mistake: Just before Ross drops the cake, Rachel is pouring crisps into a bowl with her left hand holding the bottom of the bag. In the next shot, she is holding the bottom of the bag with her right hand. (00:05:50)
The One With All The Kissing - S5-E2
Continuity mistake: In the scene after Monica pretends to drop socks in the hallway in order to prevent Rachel from telling Ross she still loves him, Rachel goes back into the apartment and locks Monica out. Monica then starts to pound on the door with her bare left hand. The scene changes to the apartment and Ross opens the door to let Monica in. All of a sudden Monica is pounding the door with her right hand wrapped in a sock. (This continuity problem is for the widescreen version, where we see a closeup of Monica not seen on the DVD, in the hallway with a bare hand right before Ross opens the door. However, on the DVD there are extra shots of Ross and Rachel after seeing Monica's bare hand pounding and then seeing her with the sock on her hand, which gives her ample time to put it on). (00:11:45)
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 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 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 With The Late Thanksgiving - S10-E8
Continuity mistake: The food/sauce stain Joey gets on his shirt (after running into the cart) changes between shots. (00:20:50)
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.