The One With The Princess Leia Fantasy - S3-E1
Visible crew/equipment: After Phoebe's Princess Leia impersonation in front of Ross it cuts to Joey watching Wheel of Fortune, and in the next shot as Chandler walks in the camera can be seen at the right side of the screen.
The One Where No One's Ready - S3-E2
Visible crew/equipment: When Ross tells Chandler and Joey, "I'd feel a whole lot better if you got dressed now," the reflections on the TV screen show there's a crew member at the side of the sofa wearing a white T-shirt, as well as the camera and camera operator behind the sofa. (00:00:30)
The One Where No One's Ready - S3-E2
Visible crew/equipment: After Rachel agrees that it will indeed take her 6 or 7 minutes to get dressed, with the caveat, "Once I figure out what I'm wearing," it cuts to Joey offering Ross the "glass of fat" as he stands behind the couch. In the next shot of Ross, the reflections on the TV screen show Joey is still sitting on the couch, and the camera and camera operator (wearing a dark shirt and raises an arm) behind the sofa. (00:01:15)
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)
Visible crew/equipment: In the scene where Chandler is talking to Rachel and Ross about how Janice thought that he had somehow called her fat, if you watch Monica's closet in the back, you can see the shadow of someone walking past, under the door. (00:05:20)
The One With The Metaphorical Tunnel - S3-E4
Visible crew/equipment: After Chandler gives Janice the contact paper for his dresser drawer, when Chandler stands up and says, "Yes, I did," we can see the camera at the right side of the screen.
The One With Frank Jr. - S3-E5
Visible crew/equipment: After Joey nearly drills a hole into Chandler he heads over to Monica's to get a beer, and just as Joey walks into the apartment the camera can be seen at the left side of the screen.
The One With The Flashback - S3-E6
Visible crew/equipment: While Joey's moving into the apartment he gets a little head rush so Monica blames the heat, and just as Monica says that it's the humidity, we can see a crew member with straight light brown hair moving around behind the open door, inside Monica's apartment - and we know it's not Phoebe or Rachel.
The One With The Racecar Bed - S3-E7
Visible crew/equipment: While Rachel and Ross are at the apartment, Rachel tries to convince Ross to have brunch with her father so they can get along, and in the shots facing Rachel we can see the movement of a crew member in the window's reflection.
The One With The Giant Poking Device - S3-E8
Visible crew/equipment: Right after the intro, in the first shot of Gunther, Ross, and Rachel, just as Ross says, "Thanks, Gunther," the camera is visible at the left side of the screen. (00:02:00)
The One With The Football - S3-E9
Visible crew/equipment: Pay close attention when we see the gang outside for the first time. In the upper left-hand corner, you can see a boom mic moving about in the shot, clear as day. (00:04:30)
The One With The Football - S3-E9
Visible crew/equipment: When Ross is explaining the playing area near the start, the boom mic once again dips into view and follows him (only visible in fullscreen version). (00:05:40)
The One With The Football - S3-E9
Visible crew/equipment: After Joey's initial conversation with the Dutch woman, as he is walking away speaking to Chandler on his way back to the game, you can see the shadow of the camera is on his chest and moves away as he walks. (00:08:30)
The One With The Football - S3-E9
Visible crew/equipment: Just before Monica tackles Chandler to the floor, there is a shot with a very large boom mic visible at the top of the screen (only visible in fullscreen version). (00:13:10)
The One Where Rachel Quits - S3-E10
Visible crew/equipment: When Monica, Ross, Chandler and Rachel are at the apartment and Rachel is suggesting how funny Chandler is, as soon as Ross says, "Sweetie, calm down it's going to be OK," a boom mic can be seen for a short period of time, at the top of the screen. (00:13:35)
The One Where Chandler Can't Remember Which Sister - S3-E11
Visible crew/equipment: When Phoebe and everyone else hear the guy upstairs with the "pogo stick" Joey gets up to give him the "butt kicking of a lifetime," and just as Joey walks around the couch we can see a crew member and camera, at the left side of the screen.
The One With All The Jealousy - S3-E12
Visible crew/equipment: After the barbershop quartet sing their "Ross song" to Rachel at her office, at the start of the next shot the camera can be seen at the right side of the screen, just as Ross walks out of Rachel's bedroom.
The One With Phoebe's Ex-Partner - S3-E14
Visible crew/equipment: After Ross finds out that Mark quit his job, when Rachel and Ross leave the office, the second camera can be seen as the shot pans to the right, at the right side of the screen. (00:06:15)
The One With Phoebe's Ex-Partner - S3-E14
Visible crew/equipment: When Phoebe and Leslie finish singing the song Sticky Shoes, as they're hugging each other in the side shot, the second camera can be seen at the left side of the screen. (00:13:00)
The One With Phoebe's Ex-Partner - S3-E14
Visible crew/equipment: When Monica and Chandler are discussing the date he had with Ginger, when he says, "She's great looking," two stage lights are visible in the background. This mistake is visible for a long period of time, where it's slightly visible, shown in shadows, and largely visible as Chandler and Monica are talking. (00:14:30)
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.