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 Where Rachel Quits - S3-E10
Continuity mistake: In the very first shot of Chandler and Rachel sitting on the couch, Chandler has his legs crossed left over right, but it cuts to the closeup and his legs are crossed right over left, then it's back to left over right.
The One The Morning After - S3-E16
Continuity mistake: When Ross is listening to Rachel's message on his answering machine, only the open pill bottle sits on the counter beside his mug, but then the bottle cap and cotton filler suddenly appear next to it. (00:03:00)
The One The Morning After - S3-E16
Continuity mistake: While Monica's preparing her shake in the blender she asks Rachel about the anniversary dinner, and when Rachel tells her that she and Ross broke up, Monica throws the blender lid and it flies over the counter, but in the next shot the lid is back in Monica's hand, and then it vanishes again. (00:01:10)
The One Where No One's Ready - S3-E2
Continuity mistake: When Phoebe comes out of the bathroom after trying to get out the hummus stain on her dress, the bathroom door is left wide open. But when Monica is playing her message, the door is suddenly almost shut, though no-one had gone near the door.
The One With The Tiny T-Shirt - S3-E19
Continuity mistake: When Monica says, "I just recently got out of a serious relationship," she is holding her glass in her left hand. The camera cuts to Pete and the glass is now in her right hand. It then switches back to her left hand in the next wide shot.
The One With All The Jealousy - S3-E12
Continuity mistake: In the coffee house when Rachel is talking to Ross about trust, a couple comes in behind her and stands at the bar. In the next shot of Rachel they have switched positions; then they are gone, and you never see them walk past Chandler. (00:19:05)
The One Where Ross And Rachel Take A Break - S3-E15
Continuity mistake: During the dinner scene with the diplomat and translator, the men's glasses move closer, then further apart, and then closer together again. (00:14:20)
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 All The Jealousy - S3-E12
Continuity mistake: At the start, Ross says, "Botanists are such geeks." When he does, his left hand goes from in his lap to on the table instantly. (00:00:35)
The One Where Chandler Can't Remember Which Sister - S3-E11
Continuity mistake: When Joey is saying about ticking his Grandma off, he has his hands up in front of him. When the shot changes, his hands are lowered. (00:13:20)
The One With The Giant Poking Device - S3-E8
Continuity mistake: At the start, Phoebe snaps at Rachel that she will go to the dentist. When she says this, her grip on the apple in her hand changes between shots. (00:02:30)
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.
The One Without The Ski Trip - S3-E17
Continuity mistake: When Monica and Phoebe enter the coffee house and talk to Chandler and Ross, the extra sitting at the coffee bar (black shirt, blue jeans) is not wearing a belt, then when they pan again she is, and back she is not. (00:00:12 - 00:00:54)
Continuity mistake: When Phoebe goes to visit her mom for the first time, she takes a cookie from the cookie jar and leaves the lid off. But in one shot, the lid is back on. The lid is back off in the following shots. (00:06:36)
The One With The Giant Poking Device - S3-E8
Continuity mistake: When Ben says Monica's name she's holding the Minute Maid juice box, but in Ben's closeup the juice box is on the table, though it's back in Monica's hand in the next shot. (00:08:50)
The One Where Chandler Can't Remember Which Sister - S3-E11
Continuity mistake: When Rachel gets off the phone with Mark she sets the phone on the counter. In the next shot the phone is in the holder and it keeps going in and out.
The One With The Princess Leia Fantasy - S3-E1
Continuity mistake: When Rachel and Phoebe are in Central Perk talking about the Princess Leia Fantasy, a guy in a yellow shirt and white pants is standing at the bar behind Phoebe. As they talk he walks to the door and leaves, but in the next shot he is standing behind Phoebe again, just as she says "That's the moment when she becomes a woman." (00:08:10)
The One With Phoebe's Ex-Partner - S3-E14
Continuity mistake: When Ginger leaves after finding Chandler's third nipple, she is taking her coat and her purse is lying on the counter. When the camera angle changes, the purse is suddenly in her hand.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.