The One Where No One's Ready - S3-E2
Continuity mistake: Just before Rachel and Ross are leaving Monica's apartment at the end, Rachel stops by the door but the next shot they're further in the room, then they walk past the door and out.
Continuity mistake: When Pheobe is talking to Ursula's stalker, her hands move places with no time to do so. (00:02:45)
Continuity mistake: When Phoebe is talking to her stalker for the first time, at one point, he tips the flowers to the side when Phoebe says, 'Well, this is awkward,' and he puts his left hand on the end of the stems. In the next shot he is holding them with both hands. (00:02:55)
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)
Continuity mistake: Right at the end when Ross hits Chandler with his rolled up magazine, he only folds over one-third of the magazine onto the middle third. When it cuts to him hitting Chandler (without a time delay between him hitting Chandler and folding the magazine) the magazine is fully folded over. (00:21:30)
The One With The Metaphorical Tunnel - S3-E4
Continuity mistake: When they are in the coffee house talking about the fact that Joey missed his audition, Phoebe says, "And that is why we don't invite you to play." Her hands are at chest height, but in the zoomed out shot, they are lowered. (00:02:50)
The One With The Metaphorical Tunnel - S3-E4
Continuity mistake: The position of the lid of Janice's box of contact paper changes repeatedly and after she tells Chandler she doesn't know what to say, she begins to slide the roll of paper back into the box. In the shot from behind, the box is closed. (00:09:50)
The One With The Metaphorical Tunnel - S3-E4
Continuity mistake: When Rachel and Monica are comforting Chandler, just before he gets up Rachel has her hands on the chair but when Chandler gets up Rachel's hands change position. (00:12:40)
The One With The Metaphorical Tunnel - S3-E4
Continuity mistake: When Chandler is getting relationship advice from Monica and Rachel near the end, the label on the ice cream tub he is holding changes position depending on whether the shot is close up or not. (00:13:00)
The One With The Metaphorical Tunnel - S3-E4
Continuity mistake: When Ross shows G.I. Joe to Ben, the Barbie's legs are pointing towards the refrigerator. In the next shot, they are suddenly pointing the opposite way. (00:13:50)
The One With The Metaphorical Tunnel - S3-E4
Continuity mistake: When Monica is telling Susan and Carol that Ross used to dress up as a girl, Ross goes over to the table and picks up a drink. When he picks it up it has a cork in it. In the next shot he has the cork already in his hand. (00:20:30)

The One With The Metaphorical Tunnel - S3-E4
Continuity mistake: While everyone's watching Joey's commercial for the Milk Master 2000, the TV area changes in the closeups.

The One With The Metaphorical Tunnel - S3-E4
Continuity mistake: When Ross is singing to Ben about GI Joe, there are two plates in the dish drainer behind him, but when Joey walks in and sits down the white plate has vanished.
The One With The Metaphorical Tunnel - S3-E4
Continuity mistake: In the scene where Chandler is sitting on the cabinet talking to Rachel and Monica, Rachel is holding an ice-cream bucket and a spoon. However, they keep showing up on the counter and then back in her hands between shots.
The One With Frank Jr. - S3-E5
Continuity mistake: In the scene where Joey and Monica discuss changing her bathroom tile, Joey moves the hamper to the middle of the doorway and when he kneels down to measure, the hamper is back against the wall. (00:06:25)
The One With Frank Jr. - S3-E5
Continuity mistake: When Phoebe is talking to Monica while Frank Jr is doing karate on the balcony, the blue cup in front of her moves, disappears and is back again. (00:10:20)
The One With Frank Jr. - S3-E5
Continuity mistake: When Frank Jr. holds a white sheet around himself, while talking to Phoebe about how she really is a masseuse, etc., the gathered sheet in his hand keeps changing repeatedly throughout the scene. (00:14:10)
The One With Frank Jr. - S3-E5
Continuity mistake: When Frank has the towel wrapped around him, the knot on his chest changes a lot between shots.
The One With Frank Jr. - S3-E5
Continuity mistake: When Frank is trying to melt a spoon there's one shot where he holds the spoon high above the table, then the angle changes and he's pressing the spoon against the plate.
The One With The Flashback - S3-E6
Continuity mistake: When Ross is talking to Phoebe and puts shot glasses on the bar, they're in groups. In the long shot, they're in a straight line then in a closer shot they're in groups again. (00:17:20)
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.