Pretty much the entire episode of "The Screenwriter", but especially the moment where the titular screenwriter wanders up to the Rampart admitting desk and starts talking into his microphone about the nurse, describing her as foxy and tough as nails. He wanders away and she asks the police officer who'd been standing at the desk if the man is a psych admit.
In a Running Gag within the Season 2 titled "Boot", a lady tries to cook for her boyfriend Bob and his mother, but ends up with a disaster in preparing the dish. First call has Roy and John finding the lady with her hair caught in the meat grinder, the second has them not only trying to get her caught hand out of a mixer, but treating her other hand burned only seconds later after she reaches for a handle of a boiling pot. The third has John and Roy putting out a fire in the kitchen. The lady, defeated, hands them a note to give to Bob and his mom, which are directions to the restaurant down the street. The lady tells Roy and John that she's headed for the theater... and eating popcorn! The kicker? She admitted that she failed Home Ec!
In the episode "Inferno", nurse Dixie has her hand stuck inside of the coffee vending machine and Dr. Early drops by as Roy and John are getting her out of the predicament. After Dixie is freed, Dr. Early puts his money into the machine, which works properly... that is, until the coffee machine hoses down his leg!
In the season 2 episode, "Peace Pipe", Gage and DeSoto had to save a woman who's having breathing difficulties because her girdle was too tight. After Gage cut through the woman's girdle, it snapped in his face.
The end of "The Nuisance", where Roy and Chet, who ended up joining hit-by-car Johnny in the hospital after a huge fire, are told by John how Roy's annoyingly by-the-book temporary partner got paired up with a guy nicknamed "The Animal". Roy is clearly pleased with the poetic justice and Gage is also amused.
Gage:"The world's most perfect paramedic paired up with the biggest slob in the department."
Roy and Marco's reaction to being told they're getting sponge baths after John is hilarious as well.
Chet's struggles with Hank's doghouse in one ep, which result in him tipping the house while inside as he tries to persuade Hank to come in.