When Niles drags CC over to see Fran's ring, her coat pops open and it is fairly obvious that Lauren Lane is VERY pregnant.
When Fran calls her mother to let her know she's getting proposed to, and accidentally sets off a phone chain begins, the show is parodying the 1963 movie Bye Bye Birdie.
When Fran and Max & Gracie get back to the mansion, Fran and Max announce that Max said that he loved her and didn't take it back, Gracie looked surprised as the others. However, wouldn't she know that, since she was went them when they came back?
When Maggie is prepping Brighton to take him to a "Geek Party," she suggests that he do his 'JJ Walker' impression; he does, using the trademark phrase "Dy-No-Mite!" but the closed captioning says "I don't mind."
Maxell: (To Fran) I've never met your father - no one has.
This is a pun to the viewers, as there are several episodes where Morty has appeared, such as "The Passed-Over Story", "Ship of Fran's", "Schlepped Away" and "You Bette Your Life", but his face is never shown until the end of the series and he has hardly any lines.
Goof: When Fran, Maxwell and C.C. are arguing on the terrace, their lip movements don't match what they are saying.
The vacation Niles was talking about he took 2 years ago was in the episode "The Kibbutz".
Goof: When Maxwell wakes up Niles on the night Fran is out with Professor Steve, he repeatedly presses the center button on the kitchen intercom to call Niles' room. Some nights later, when Fran wakes up Niles after Professor Steve dumps her, she repeatedly presses the left button on the kitchen intercom to call Niles' room.
I assume Gracie did the asking because the housekeeper would more likely be sympathetic to a little girl than to a grown woman.
Fran has Gracie tell the maid her daddy is in the shower and she's locked out. Couldn't Fran have just told her that her husband was in there and she didn't have a key?
The script of the play, which Joyce Brothers gives to Maxwell, has the title "Nuts".
Goof: When Maxwell jumps in the pool, the gray in his hair washes out.
In Maxwell's office, he realizes that Bobbie is actually Fran by the big price tag sticking out of her dress. After he tells her he knows, the price tag miraculously disappears.
When they zoom in on Brian Seltzer, at certain angles you can see the actual stage lights in the background.
At the end, when Sylvia hands the toilet paper to Glenn Close, there is already a roll of toilet paper visible in the stall.
This episode is where it begins to become obvious that Lauren Lane (C.C. Babcock) is pregnant. There are several things in this episode that make this clear. First of all in the scene where she is in the kitchen and Niles walks in in his workout gear, she turns to the side a bit and you can clearly see her growing belly. Second this begins C.C.'s thing about gaining and losing weight. Third, C.C. begins to wear a lot of dark colored and layered clothing to help hide her belly. And fourth, C.C. also begins to hold a lot of props in her hands to help hide the belly, the oldest TV trick for hiding pregnancy.
In Fran's dream where Niles was Maxwell and Maxwell was Niles, Fran says it's been 22 years since she started working there. Then "Maxwell" says that he's concerned about the children. Fran says that Gracie is 40. But if it's been 22 years, that would mean Gracie would have been 18 when Fran started working there.
In the scenes where Fran and Max walk around London, pay attention and you'll notice that Fran's coat is on and off all the time (and whenever it's off no one is holding it).
When Fran gets out the chocolate ice cream, she puts whipped cream and a cherry on it. However, when she sits down the whipped cream and cherry disappear for a while and then reappear.
Watch the actor who plays Keith. When he enters the house, he doesn't have his glasses on. When the camera changes the angle, suddenly he does.