Audio problem: When Focker is going back to Chicago the woman who is typing stops moving her hands for a little while the clicking noise is still going.
Visible crew/equipment: When Jack (De Niro) enters the airport door to keep Greg (Stiller) from leaving for home, you can see the reflection of the camera in the glass door and then it backs up as DeNiro walks in.
Revealing mistake: At the airport when Jack says 'tow it', there is an extra waiting for his mark to walk outside seen in the reflection of the doors.
Revealing mistake: At the part where the two are racing back to the house. At the very last light when the father turns left, you can see that the driver of the Mercedes is a stunt double.
Continuity mistake: When Greg goes into Denny's room to get clothes, Denny sneaks back home and the chair is by the window facing backwards, one shot later the chair is facing the other direction.
Continuity mistake: When Greg is eating dinner with Pam's parents, his amount of sweet potatoes on his plate varies, sometimes there's many on his plate, other times there are less. (00:30:30)
Continuity mistake: When Ben Stiller is waiting to get on the plane late at night there is no one behind him waiting to get on the plane. Yet when he's on the plane trying to stuff his bag into the overhead compartment there's plenty of people behind him.
Continuity mistake: Jack watches a tape of Greg in which Greg mentions Denny and hints at Denny's drug use. However, the tape is of Greg's first (and only) night at the house. Greg didn't meet Denny until his second day at the house.
Continuity mistake: When Greg and Pam are dancing in the restaurant, just before De Niro picks up the message from the neighbour about the cat, when the shot is on Greg's face their heads are together, but when the shot is on Pam's face, their heads are separated. This is shown like 8 times, 4 times each side.
Continuity mistake: When Greg is on the plane at the end fighting with the stewardess, her collar goes from being tucked in, to untucked several times.
Continuity mistake: In the race scene on the way home when Greg is driving the car you can see in the background that the seat belt keeps switching positions. Sometimes it is around Bob then it is around Bob and Debbie.
Continuity mistake: When Jack is talking to Greg in the airport luggage room after he is thrown off the plane, the glow on the table from the light keeps changing shape, from round to square.
Continuity mistake: In a few scenes of Pam's bedroom, if you were standing at the foot of her bed and look to the right you would notice that there isn't a night stand nor a lamp sitting on it. So how is it that Greg happens to turn on a lamp that is sitting on a night stand when he proposes to her?
Continuity mistake: When Greg and Pam's Dad are on their way to the store and they're in the car, Pam's dad is moving the wheel every way when you can see that the car is going straight and finally when they make a turn the wheel is straight.
Other mistake: When Ben Stiller and Robert De Niro went to the store there are head rests on the back seats, but on the way back from Owen Wilson's house they've gone.
Continuity mistake: When Jack and Greg are racing home after the rehearsal dinner, they screech at the same intersection, (by Dunkin Donuts) numerous times. You can see several sets of skid marks already on the road. (01:19:45)
Continuity mistake: In the den, when Pam is telling Greg how much she loves him, she has her arms around his neck. From over her shoulder, it appears that her arms are under the hood of Greg's shirt, but from over Greg's shoulder, her arms are on top of the hood.
Continuity mistake: In the beginning of the film, when De Niro is holding the cat explaining to Pam and Greg how he taught the cat to use the bathroom, the cat changes from shot to shot. In some shots it's a very fluffy Himalayan with a lot of black on its head, then the next shot it's a much less fluffy cat with more gray on its head. The positioning of the cat in De Niro's arms also changes from shot to shot in this scene.
Continuity mistake: When they sit down at the dinner table on the first night, Jack reads the poem he wrote about his mother. He is not wearing reading glasses, but when the shot moves away and returns, Jack is now wearing reading glasses.
Continuity mistake: When Pam goes into the den to console Greg after firing the 'shot heard round the world,' she puts her arms around his neck. In alternating shots, her hands go from under the hood of his sweatshirt to on top of the hood.
Answer: Who says they had to have been legal adults to date when Top Gun was popular? They could very well have been teenagers and got engaged shortly afterwards. If Teri Polo and Owen Wilson are playing characters that were born the same years as the actors themselves they would have been 17 and 18 respectively when Top Gun was released. If they are playing characters a few years older than they actually are, which is entirely plausible, what Pam says makes perfect sense.
BaconIsMyBFF
I would like to add that a movie doesn't stop being "very popular" soon after the release. In 2000, when I was in middle/junior high school, we actively talked about movies that had been released three or more years before (Forrest Gump, Scream, Cruel Intentions, etc.). A movie from 1986 could easily be popular among a dating/engaged couple and their friends in, say, 1990.