The One With The Nap Partners - S7-E6
Continuity mistake: When Ross and Joey wake from their nap on the couch while everyone else is watching them, Marvin the Martian stuffed doll is lying on the floor between the couch and wall, but in the closeups Marvin the Martian is on the couch.
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 Sharks - S9-E4
Other mistake: While Monica, Rachel, and Joey are seated at the table talking about Joey's problem, there's a Dasani water bottle on the table with part of the brand name painted black so it reads "Asav" on the label.
The One Where Emma Cries - S9-E2
Continuity mistake: On the sign that reads 'It's a boy' Phoebe writes the word "not" with a black marker, then in following scenes such as when Monica and Chandler are talking about Tulsa, the word "not" is written differently on the sign.
The One With The Baby Shower - S8-E20
Continuity mistake: During the mock Bamboozled game with Chandler and Ross, when Joey asks about the word triskaidekaphobia a bottle of Evian suddenly appears on the countertop oven, which vanishes and then reappears.
Continuity mistake: After Ross decides to go after Rachel, in the overhead shot all four of the cab's doors are closed, but when it cuts to Ross and Phoebe getting in and shutting their front doors suddenly both back passenger doors are inexplicably wide open, then when Ross shouts about missing seatbelts both back doors are closed again. Then when the guy gets into the back seat he shuts his door, but when he asks for the medallion number both back doors are open, and then they're closed again.
The One Where Heckles Dies - S2-E3
Continuity mistake: After Monica breaks the seashell lamp, when Phoebe says that she wants to believe Monica did it accidentally her right is arm up and points to Monica, but in the next shot it's Phoebe's left arm that's up while still pointing at Monica.
The One with the Evil Orthodontist - S1-E20
Continuity mistake: When Rachel's in Barry's office her black handbag is hanging over the counter, but after Billy walks in on them and Barry pretends to look in Rachel's mouth, the bag's lying on the counter.
The One with the East German Laundry Detergent - S1-E5
Continuity mistake: While Rachel and Ross are at the laundromat there's laundry detergent, softener, bleach, etc., atop the soda machine, some of which change position or vanish in consecutive shots.
The One with the Evil Orthodontist - S1-E20
Continuity mistake: When Rachel walks into Central Perk she puts her black handbag down behind the couch and proceeds to talk about Barry, but after Ross smacks Chandler's arm to prompt him to speak up, the handbag's strap appears on Rachel's wrist.
The One with the Sonogram at the End - S1-E2
Continuity mistake: When Monica holds the glass pan of lasagna up over her head to try and find Rachel's ring, when it cuts to the next shot the lasagna is still in the air, but it's different - note burned corners, etc. (00:06:10)
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 Lesbian Wedding - S2-E11
Continuity mistake: In the beginning when Carol and Susan tell Ross that they are getting married. Ben changes from a blonde baby to a brunette baby.
The One With Ross's Tan - S10-E3
Other mistake: Chandler asks Monica "are you trying to do a British accent?" after she does an impression of Amanda. In the next shot, you see Chandler mouthing the line again.
Other mistake: The photo in Rachel's passport at the airport is not of her. (00:29:45)
The One Where Phoebe Runs - S6-E7
Visible crew/equipment: At the end when Ross is talking about his computer thing with Janine, a boom-mic can be seen above their heads. (00:21:55)
The One With Ross's Wedding, part 1 - S4-E23
Visible crew/equipment: When Rachel exits her bedroom and says she's going to London, you can see tape markings on the floor by her bedroom door and the end of the set. Furthermore, you can see a chair which is likely part of the Central Perk set. [Widescreen version]. (00:20:25)
The One With Joey's Interview - S8-E19
Continuity mistake: In the opening scene Rachel is holding a white felt pen in her hands and gesturing with it while she talks about the soap opera digest magazine. Between shots the pen sometimes has its cap on and then it's off again so you can see the blue tip. (00:00:20)
The One With Ross's Library Book - S7-E7
Continuity mistake: When Monica says, "She has beaten me, Chandler, I'm tired," she puts her hands on him and they are in fists, then they are flat out, then in fists again.
The One With The Donor - S9-E22
Continuity mistake: When Phoebe enters the coffee house to get Joey's advice on her outfit for Mike's sister's party, it cuts to Joey saying "You look stop-eating hot", and Phoebe's left hand can be seen making a nervous up-down motion in response. But when it cuts back to her, it is her right hand making the motion and her purse is now in her left hand.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.