The One With Ross's Tan - S10-E3
Visible crew/equipment: When Rachel is talking to Monica about how weird the thing with Joey was, behind her in a yellow vase, you can see a huge light blur reflected from a stage light. (00:12:50)
The One With Ross's Tan - S10-E3
Visible crew/equipment: When Monica walks into the apartment and announces to Chandler that they're not friends with Phoebe anymore, the hole in the wall beside the door (which is usually hidden behind the picture) can be seen when she walks in and also when Phoebe and Amanda walk in.
The One With Ross's Tan - S10-E3
Visible crew/equipment: After Ross goes in for his disastrous tan, when it cuts to Joey and Rachel walking into their apartment the hole (used for a camera angle) in the wall can be seen at the right side of the screen. As an aside, when Ross leaves Monica and Chandler's apartment later just as Rachel walks in, that hole is seen in the hallway and it's covered up.
The One With Ross's Tan - S10-E3
Visible crew/equipment: After Monica gets the call from Chandler about the fake car accident and leaves Phoebe with Amanda, in the next shot of Joey walking into his apartment the bulletin board that usually hangs beside the door is cut to about a quarter of its size, and it's covering part of the hole in the wall.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.