The One Where Rachel Quits - S3-E10
Continuity mistake: When Rachel's new boss is explaining about coffee, his head moves from the front to the side with no time to do so. (00:20:30)
The One With Rachel's Phone Number - S9-E9
Continuity mistake: Near the end when Rachel runs after Phoebe and Mike to ask Mike if the guy from the bar called, she leaves the apartment with her bag, which she places over her left shoulder. When she is talking to Mike the bag is gone, and then when she returns to the apartment she has her bag again. (00:20:30)

The One with the Dozen Lasagnas - S1-E12
Visible crew/equipment: When Ross is on the balcony trying to comfort Rachel after she has split up with Paolo, we see a couple of shots from the balcony looking into Monica's apartment. If you look at the top of the screen you can see where the walls of the set end, and all the stage lights hanging from the ceiling of the studio. (00:18:35)

The One With Joey's Dirty Day - S4-E14
Continuity mistake: In the scene where Mr Heston confronts Joey about using the shower, Mr Heston points at Joey from a seated position. As the shots switch Mr Heston's "pointing" hand also switches. (00:16:30)
The One That Could Have Been, part 2 - S6-E16
Continuity mistake: When Phoebe is in the hospital bed and Monica gives her a cup of herbal tea, Phoebe is shouting at her for putting honey in it. As the shot changes back and forth the spoon in the cup changes position. (00:02:00)
The One Where Eddie Won't Go - S2-E19
Revealing mistake: When the men are repossessing Joey's things, a view of New York can be seen through the window, but it's clearly a picture. (00:08:00)
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 With The Hypnosis Tape - S3-E18
Continuity mistake: Just after Chandler has used the chapstick, in a shot from the side the stick is in his right hand, and then in the next shot he is instantly putting a tissue (which wasn't visible before) up to his lips, and the stick has moved to his left hand. (00:10:45)
Continuity mistake: When they are talking about sperm donation, Joey is eating a cracker with jam on it. Between shots it instantly rotates in his hand. You can tell because the jam goes from being on the top to the bottom side, and because of the way he is holding it you can see there is only jam on one side. (00:14:15)
The One With Monica's Thunder - S7-E1
Continuity mistake: Chandler is in Rachel's apartment after he has just left Monica; he says to Rachel, "You look great", then Rachel puts her hair behind her ears. The camera cuts to Chandler, then straight back to Rachel, and her hair is not behind her ears. (00:05:05)
The One With The Ball - S5-E21
Continuity mistake: Joey goes into the bathroom and the toilet is behind the door. In a previous episode, when Joey doesn't know about Chandler and Monica, he comes out of his room and thinks it is morning. He goes into the bathroom and Chandler pushes the door open to reveal Joey asleep on the toilet with his toothbrush in his mouth, only the toilet is now on the other side of the room, not behind the door. (00:05:20)
The One With All The Resolutions - S5-E11
Continuity mistake: When Joey and Rachel are trying to work out if the other knows about Monica and Chandler, they sit at the table in silence. In a side shot of Joey they look at each other sneakily, and Joey has his arms by his sides. It then cuts to a head-on shot of Joey, and he's got his right arm over the back of the chair. (00:19:00)
The One With the Male Nanny - S9-E6
Continuity mistake: When Ross walks in on Sandy and Joey playing the recorders, Joey puts his recorder down on the table in front of him, when Ross storms out of the room, the recorder is in a totally different position and also on the far end of the table. (00:24:55)

Continuity mistake: Just as Ross and Mona are about to dance, her arms are crossed. The camera cuts and they are on her hips. (00:16:05)

The One With Monica's Thunder - S7-E1
Continuity mistake: In the scene where Phoebe is telling Joey that his eyes "give him away" he is holding a sandwich; the camera angle cuts to behind him and the sandwich is on the table. (00:15:50)

The One With Princess Consuela - S10-E14
Continuity mistake: When Ross is trying to get Rachel's chair through the revolving doors, he has his right leg on the chair but it suddenly switches to him having his left leg on the chair. (00:15:25)
The One With All The Candy - S7-E9
Revealing mistake: At the start of the episode, when Ross says, "No, one daddy, two mommies," Ben is mouthing the line along with him. (00:00:15)
The One with the Dozen Lasagnas - S1-E12
Visible crew/equipment: When Paulo says goodbye to Phoebe, a boom mic can be seen at the top of the screen bobbing in and out at the top of the pillar. (00:17:45)

The One with the Dozen Lasagnas - S1-E12
Continuity mistake: When Ross is on about calling immigration, his hands move with no time to do so. (00:04:05)
The One With Five Steaks and an Eggplant - S2-E5
Continuity mistake: When Ross is giving his toast to Monica, when he's finished he drinks from his glass. Later when Chandler arrives, it is still at the same level. (00:07:10)
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.