The One with Two Parts: Part 1 - S1-E16
Visible crew/equipment: At the Lamaze class just before Ross and Susan argue about who should lie on the floor, a boom mic can be seen in the top left corner of the screen. (00:08:50)
The One With Rachel's Date - S8-E5
Visible crew/equipment: When we see Central Perk for the first time, you can see a stage light is reflected in the window. (00:05:20)
The One Where Everybody Finds Out - S5-E14
Visible crew/equipment: When Rachel stands up to get laundry for Monica, a stage light can be seen in the TV. (00:07:20)
The One With Ross's Wedding, part 1 - S4-E23
Visible crew/equipment: When Rachel gets back from shopping, all the stage lights can be seen in the tv. (00:11:50)
The One With The Jellyfish - S4-E1
Visible crew/equipment: When Ross storms out of the room and the rest of the friends are in the kitchen, you can see the stage lights at the top of the screen. (00:20:15)
The One With Ross's Wedding, part 1 - S4-E23
Visible crew/equipment: In the scene where Phoebe and Rachel are discussing whether she loves Ross, the stage lights are visible in the TV. (00:07:25)
The One The Morning After - S3-E16
Visible crew/equipment: When Phoebe says they've been quite for a long time, a boom mic is visible above her (only visible in fullscreen version). (00:21:40)
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)
The One With The Bullies - S2-E21
Visible crew/equipment: When Chandler falls behind the couch, the mat he lands on is visible.
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 Proposal, part 1 - S6-E24
Visible crew/equipment: After Chandler tells Monica about the interesting website and fakes his opinion of marriage, right after Monica says, "Well, that's good to know," in the next wideshot the camera can be seen at the right side of the screen. (00:20:15)
The One With Monica's Boots - S8-E10
Visible crew/equipment: When Chandler is giving Monica a piggy-back, Monica sees her boots in tan in the store window. In the non-widescreen version, the cameraman can be seen in the reflection of the glass. This was fixed in the widescreen version. (00:17:45)
The One With Monica's Boots - S8-E10
Visible crew/equipment: When Joey is talking to Bobby and Dina, lights and a boom mike can be seen at the top of the screen. (00:18:40)
The One With The Halloween Party - S8-E6
Visible crew/equipment: Right after Joey has finished his impersonation of Chandler, kids can be heard knocking on the door. When the camera pans to Rachel, stage lights can be seen in the top right-hand side of the screen. (00:05:15)
The One Where Rachel is Late - S8-E22
Visible crew/equipment: After Rachel has told Ross it's 100° outside and she starts walking towards the door, a camera is visible to the far right (Widescreen version only). (00:09:30)
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 Rachel's Date - S8-E5
Visible crew/equipment: When Rachel and Cash leave Joey's apartment, in the top-left corner a stage light is visible. (00:12:05)
The One With The Cake - S10-E4
Visible crew/equipment: At Emma's birthday party, Joey and Phoebe are discussing the performances they are doing for Emma. The balloons placed behind them reflect the stage and spot lights. This happens throughout the episode in most of the balloons.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.