The One with George Stephanopoulos - S1-E4
Continuity mistake: When Joey jumps over the sofa to give Ross the tickets, one of the pages of Ross's magazine is sticking out towards him. In the next shot it is gone. (00:02:40)
The One with George Stephanopoulos - S1-E4
Continuity mistake: When Phoebe talks about the cave in in the mine, Ross has his hands in his pocket behind her. In the next shot his hand is on the sofa. (00:04:10)
The One with George Stephanopoulos - S1-E4
Continuity mistake: When Rachel gets her first paycheck, the envelope is already open, but she then rips it open. (00:04:20)
The One with George Stephanopoulos - S1-E4
Continuity mistake: After Rachel speaks to her pregnant friend, they manage to swap places between shots. (00:05:50)
The One with George Stephanopoulos - S1-E4
Continuity mistake: When Rachel's friend who is pregnant appears in Central Perk, she says she's like a Duplex. When she does, her left-hand goes from outstretched to on her belly. (00:06:10)
The One with George Stephanopoulos - S1-E4
Continuity mistake: When Rachel explains to her friends about her job, for the first half of the scene there is a cushion behind her back. When Rachel says, "This is what I'm doing now, I've got this job." The cushion disappears. (00:07:40)
The One with George Stephanopoulos - S1-E4
Continuity mistake: When Rachel is explaining that she's not going back home, the friend with her arm on the back of the sofa behind her has her sleeve part the way up towards her elbow leaving a very prominent gap between the sleeve and bracelet. When the camera comes back to her the gap has now gone. (00:08:20)
The One with George Stephanopoulos - S1-E4
Continuity mistake: Just before Ross gets hit in the hockey game, you can see him wearing a foam finger which then disappears. (00:11:45)
The One with George Stephanopoulos - S1-E4
Continuity mistake: When Ross gets hit with the puck, we see it flying towards him. Camera cuts and the puck has simply vanished and yet Ross acts as though he has been hit. (00:12:45)
The One with George Stephanopoulos - S1-E4
Continuity mistake: The way the receptionist in the hospital holds the candy bar differs between the several camera angles. (00:13:30)
The One with George Stephanopoulos - S1-E4
Continuity mistake: The facial expression of the receptionist changes drastically between instant cuts when she says the line "any minute now" (00:14:00)
The One with George Stephanopoulos - S1-E4
Continuity mistake: Monica asks Phoebe if she has a plan to which she replies she doesn't even have a "Pla." During this, her hairs position on the futon changes between shots. (00:14:40)
The One with George Stephanopoulos - S1-E4
Continuity mistake: When Ross wrestles his puck away from the little kid in the emergency room, it goes flying at the receptionist. The shot cuts, and it hits her from a completely different angle.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.