The One With All The Cheesecakes - S7-E11
Continuity mistake: In the scene when Phoebe says goodbye to David, you can see Phoebe's long hair on her back. The scene goes back and forth between Phoebe and David or Phoebe and Joey (after David leaves). Each time the amount of hair on Phoebe's back changes. Sometimes it is a thin bit of hair, other times a large chunk (while the rest of her hair is framing her face in front). (00:19:10)
The One With Ross and Monica's Cousin - S7-E19
Continuity mistake: When Cassie shows Ross her freckles on her shoulder, her hand positioning changes between shots.
The One With Ross's Tan - S10-E3
Continuity mistake: Chandler walks away from Ross's apartment at the end. But he walks to where the kitchen should be. (00:21:15)
The One With The Princess Leia Fantasy - S3-E1
Continuity mistake: S3E1; Ross is telling Chandler about how woman tell each other everything in Central perk. Chandler puts a book about trout on the table and then talks to Ross, then the camera zooms out and the book has moved more to his left and a coffee mug is in front of it.
The One Where Ross Hugs Rachel - S6-E2
Audio problem: In the pre-theme-song scene, with Phoebe and Ross talking outside the coffeehouse, when Phoebe sends Rachel away in the cab for the second time the sound of the tyres screeching starts while the cab is still stationary.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.