The One With The Flashback - S3-E6
Continuity mistake: When Chandler drops the cue ball by Rachel and her friends, the pool cue on the pool table is straight. When he speaks to her, it is suddenly at a 45-degree angle. The chalk cube and blue box also change position.
The One Without The Ski Trip - S3-E17
Continuity mistake: At the start, just as Rachel is leaving Joey's apartment after mentioning the tickets she's got, Joey stops her and she turns round. Her hands are clasped together in front of her chest in one shot and by her side in the next. (00:04:00)
The One The Morning After - S3-E16
Continuity mistake: When Rachel asks, "When did Chloe leave?" the paper Ross is holding changes direction. Note the title of the paper: The New Yorker. (00:13:30)
The One With The Football - S3-E9
Continuity mistake: When they are outside for the first time, you see a shot from behind Monica, Joey, and Chandler. Monica then says, "Bring it in," and the shot changes. However, all 3 are now in different poses to what they were in before. (00:04:40)
The One With Phoebe's Ex-Partner - S3-E14
Continuity mistake: When Phoebe says you never run on a barge, her hand changes position on the table between consecutive shots. (00:06:50)
The One Where Ross And Rachel Take A Break - S3-E15
Visible crew/equipment: When Ross is on the phone to Rachel, near the start, just as he walks into the living area, a stage light is visible above him (only visible in fullscreen version). (00:06:10)
The One Where Monica and Richard Are Just Friends - S3-E13
Continuity mistake: When Monica is dabbing Richard's shirt, the way she is holding the cloth changes between shots. Note the amount over her fingers. (00:08:50)
The One With The Hypnosis Tape - S3-E18
Continuity mistake: When Monica serves cheesecake to Pete, she goes to put the lid back, but in the next shot the lid is not there. (00:07:16)
The One With The Princess Leia Fantasy - S3-E1
Continuity mistake: When Janice is talking to Joey about his disliking her, her long hair keeps changing position from hanging down her front to being behind her shoulders and down her back.
The One With The Hypnosis Tape - S3-E18
Continuity mistake: When Pete is trying to ask Monica out at the diner she works at, she rejects him while placing the bell jar over the cheesecake and the pie server on the counter. In the next shot, the bell jar is nowhere to be seen and the pie server is up on the cake stand with less cheesecake. Then the bell jar reappears over the cheesecake. (00:07:00)
The One With The Ultimate Fighting Champion - S3-E24
Continuity mistake: Joey's hair is suddenly much shorter after the intro with Robin Williams and Billy Crystal - everyone's wearing the same clothes so no time is meant to have passed.
The One Where Rachel Quits - S3-E10
Continuity mistake: In the classroom Ross has his head down because he didn't want to be called on about the number of boxes he sold. The mother brown bird walks behind him and her right hand is on her hip while she is clearing her throat. In the next shot her right arm is pointing upward.
The One With The Giant Poking Device - S3-E8
Revealing mistake: After Monica runs into the bedroom screaming "I wrecked your child" Rachel says "I hope it's funny when you're in hell." When Rachel is saying that line you can see the shadow of Monica on the wall in the room indicating she is just standing there waiting to make her entrance again.
The One With The Tiny T-Shirt - S3-E19
Continuity mistake: When Ross is looking through the peephole, his right foot moves inward with no time to move.
The One With The Football - S3-E9
Continuity mistake: When they are talking about the Geller Cup, Monica is looking at Ross and then looks down. But when the camera angle changes, she is still looking at Ross and then looks down again.
The One With The Giant Poking Device - S3-E8
Continuity mistake: When Chandler is breaking up with Janice and she walks away trying to shake him off, her jumper is untied. When Chandler says "You can't go, I have your shoe" we cut back to Janice and her jumper has been tied at the bottom.
The One With The Giant Poking Device - S3-E8
Continuity mistake: When Rachel and Monica are stressing about the bump on Ben's head, Rachel's hair keeps moving from tucked behind her ear to hanging loosely in her face between shots.
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 a Chick. And a Duck. - S3-E21
Continuity mistake: At the beginning of the episode, Phoebe gives Monica a push on her rollerskates and then we cut to Gunther giving Rachel a mug of cocoa. At this point, Monica is about to crash into Rachel, but as the angle changes we see Phoebe giving Monica a push for a second time.
Visible crew/equipment: When Ross and Rachel realise they are in an empty apartment, studio lighting can be seen over their heads in the ceiling as Ross leads Rachel into the centre of the room. (00:04:35)
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.