The One With Phoebe's Ex-Partner - S3-E14
Visible crew/equipment: Just after Chandler says "I'm the smallest person in the world", and Joey comes out of his room, check the top left of the screen - you can see a boom mic track Matt LeBlanc across the set, and the bottom of some stage lights in the middle. (00:14:40)
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 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 Without The Ski Trip - S3-E17
Visible crew/equipment: At the end of the scene where Ross buys the group gas at the rest stop, as the shot moves out on Ross leaning against Carol's car you can see the cameraman (and his camera) to the left of the screen. [Widescreen HD version only] (00:19:35)
The One With The Hypnosis Tape - S3-E18
Visible crew/equipment: When Monica leaves the apartment and everyone is watching you can see the stage lights on the ceiling in shots from Pete's viewpoint. (00:18:10)
The One With a Chick. And a Duck. - S3-E21
Visible crew/equipment: Monica is talking to Pete in the diner when he gets back from Japan. If you look at the floor at Monica's end of the counter at the very beginning of the scene, you can see the mat that is there to protect her when she falls over later. (00:02:35)
The One With The Ultimate Fighting Champion - S3-E24
Visible crew/equipment: When the friends are leaving for dinner, and Phoebe stops Rachel to ask her about Bonnie, the stage lights are reflected in the TV. (00:06:00)
Visible crew/equipment: When Bonnie first arrives at the beach house, when she enters the door look at the top of the screen above the left door and you will see a microphone dip into the shot for a second before the camera changes. (00:10:55)
Visible crew/equipment: During the scene when Phoebe breaks into the other Phoebe's house and gets caught, the older Phoebe was telling the younger one that the man in the photo is not Frank Buffay, but is Chuck Mangioni. Right after that, as Phoebe 2 walks towards the camera, you can see that the door behind her moves open, and there is a visible shadow of someone who walks by that doorway. (00:19:00)
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.