Revealing mistake: When the first baby is born, Monica and Chandler are asked by the doctor if they would like to cut the umbilical cord. However, just before this line is delivered, the baby is moved and its navel is visible.
The One Where Monica Gets a Roommate - S1-E1
Revealing mistake: As Monica is walking to her room and steps on Paul's watch, if you look carefully, you can see that she just steps on the band. That would not damage the watch. (00:26:45)
The One With The Giant Poking Device - S3-E8
Revealing mistake: When Monica and Rachel are banging their heads on the wood, it is clear that they aren't hitting them hard enough to result in the winces that are apparent. (00:09:00)
The One With Rachel's Going Away Party - S10-E16
Revealing mistake: The twins are dolls. They don't move, and the way they are being carried indicates they don't weigh much.
The One With Ross' New Girlfriend - S2-E1
Revealing mistake: At the end, when Rachel and Ross are talking on Monica and Rachel's balcony, the edge of the "brick" wall behind them has a gap in it. The facade is obviously a thin plastic sheet made to look like bricks and mortar, and it has pulled away from the surface it is attached to.
The One With The Ballroom Dancing - S4-E4
Revealing mistake: During the end bit, before we get to see Phoebe when she is being interviewed at Lara and Jeni's Massage, if you look closely at the name of the massage parlor, you'll see that, although the camera shakes and bumps, the words stay on the very same spot on the screen. Obviously the canopy was blank and the name was digitally added later.
The One With the Holiday Armadillo - S7-E10
Revealing mistake: When Ben sits on the sofa to listen to Ross talk about the festival of lights, you can see Monica move Ben to the other side of the sofa despite there being space for her to sit. This is so they sit in the correct order as she would mask Ben to the cameras.
The One With The Truth About London - S7-E16
Revealing mistake: When Monica gives Phoebe the headache medication (Hexadrin) she, not only doesn't take the lid off - and therefore fails in pretending to put it back on - but also doesn't actually give Phoebe anything. Extended episode. (00:07:30)
The One Where They're Up All Night - S7-E12
Revealing mistake: When Chandler is getting a pan out to warm some milk, he successfully pulls the bottom pan out without too much disruption, however, the joke (and entire plot device - to wake Monica up) is to make as much noise as possible so Perry pulls out more pans on purpose and knocks them on the floor. This is quite clear - you can see him grasp the wok and pull it out onto the floor. (00:06:30)
The One Where The Stripper Cries - S10-E11
Revealing mistake: When Monica collapses onto the beanbag chair at the very end of the episode, we can see the bottom of her fat suit below the hem of her skirt.
The One with the East German Laundry Detergent - S1-E5
Revealing mistake: When Ross and Rachel are looking at the pink clothes in the washer, it's clear the clothes are actually dry. (00:17:20)
The One Where Ross And Rachel Take A Break - S3-E15
Revealing mistake: In the scene where Ross brings the picnic basket to Rachel's office, he lights a candle and puts it near a plant (which then sets it on fire). However, the candle is barely (if at all) close enough to set it alight, and when it does, a huge flame just erupts from the middle of the plant, not the edge where the candle was.
The One With Phoebe's Wedding - S10-E12
Revealing mistake: Just before we see everyone setting the wedding up outside, there is a sweep shot of the city with snow falling. It's very obvious that this snow is added digitally and it's very badly done. There is no snow on any of the buildings, and there is no snow hitting the surface of the water. (00:20:50)
The One With Phoebe's Wedding - S10-E12
Revealing mistake: At the wedding, none of the snow melts when it has been sitting on people for several minutes. Occasionally when it gets brushed off clothes it just sticks to hands and sleeves, again for several minutes without melting. (00:21:15)
The One Where Monica Sings - S9-E13
Revealing mistake: When Joey has his eyebrows plucked at the salon, it is obvious that the woman is not pulling any hair off. (00:07:00)
The One After the Superbowl, part 2 - S2-E13
Revealing mistake: Rachel grabs a jar of sauce from the shelf and says, "You give me back my sweater or it's handbag marinara." You can tell from the sound it makes when it opens - no pop - that the jar had already been opened before she pulls the lid off.
The One With Joey's Fridge - S6-E19
Revealing mistake: In the closing scene where Ross and Elizabeth are dancing on the beach, you can see that the sky in the background is actually a picture, and you can see where it ends. (00:21:20)
The One with the Candy Hearts - S1-E14
Revealing mistake: When Chandler bangs his head on the bathroom wall after realising Janice is at the restaurant, the wall wobbles, revealing it is part of the set. (00:04:15)
The One With Barry & Mindy's Wedding - S2-E24
Revealing mistake: When Chandler finds out that his online girlfriend is married, the camera cuts to Joey, and you can see the computer screen is off.
The One Where The Stripper Cries - S10-E11
Revealing mistake: During the 80s flashback, Monica and Rachel's cups are obviously empty.
Answer: Usually by the seventh night of Hanukkah you don't know what to get the other person, and you will probably resort to getting the other person something insignificant. Chandler is basically saying that the pen is a stupid gift.