The One With The Ride-Along - S5-E20
Continuity mistake: Toward the end of the episode, Rachel is back in Ross' apartment, trying to mend the ornament she broke when she was in there earlier. Ross comes in unexpectedly and she tosses the broken pieces into the lightshade, leaving the glue on the side table. In subsequent shots, the glue goes from lying on its side, to standing up, a number of times. (00:16:00)
The One With The Ride-Along - S5-E20
Continuity mistake: When Rachel is at Ross' apartment she gets the blender and while she's standing at the window talking to Monica on the phone the kitchen door is closed, then it's wide open, and then closed again.
The One With The Ride-Along - S5-E20
Plot hole: When Rachel picks up the box of photos they all fall out, because the box isn't sealed with tape or even folded properly. But there's no way for that to have happened. Monica would have brought the box from somewhere and put it on the couch, and the photos would have fallen out then, and she would have fixed it (this is Monica, after all.) The only way for this to have happened is if she put the empty box on the couch, unfolded/unsealed, and then put photos in it - which Monica would not do.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.