Near the beginning of Up, young Carl ventures out across a beam in the attic of a decrepit old house to retrieve a balloon. The beam snaps, and we cut to an ambulance.
The Party: Used near the end, after the hostess of the party repeatedly faints off a balcony and into soap-filled water.
In The Cannonball Run, J.J. drives a motorboat and gets distracted waving to some women. Victor tries to warn him about a third boat ahead of them and the trope plays. This actually affects the plot as the ambulance ride gives them the idea to use one in the race.
Black Books, after Manny swallows The Little Book Of Calm.
The Bottom episode "Accident" has not one, but two of these.
And so did the episode "Digger".
In Father Ted, Jack accidentally ends up at an Alcoholics Anonymous meeting. Some time later, a member of the group spots him in a pub and attempts to intervene with his drinking, resulting in an ambulance cut. See it here
Hancock's Half Hour: In the classic episode "The Blood Donor", our hero has just given "very nearly an armful" of blood and discovered that he belongs to a rare blood group. Back home, fretting that his rare blood might not go to "the right sort of person", he decides to sharpen a bread knife. Cue Stock Footage of ambulance, and guess who needs the blood.
NewsRadio: Bill tries chewing his nicotine patch. Three guesses what happens next.
Another episode begins with Matthew jumping out of the fridge to scare Mr. James, who goes into a fit of laughter, clutching his chest. Cue ambulance.
Yet another episode begins with Matthew cutting his hand while trying to grab a cup off a light fixture. After the staff wrapped his hand with paper towels, Dave checks how bad it is. Cut to ambulance.
Knowledge of the trope leads to potential audience confusion in the Doctor Who episode "The Eleventh Hour": The Doctor gets clobbered with a cricket bat, and then we cut to an ambulance pulling up at a hospital. The Doctor is not in the ambulance, and does not appear in the following scene within the hospital (nor in fact does the ambulance, which apparently is just there to make it clear that it's a hospital).
The Corner Gas Christmas episode "Merry Gasmas" uses this trope four different times. The first three are flashbacks to previous Christmases. Emma tells Oscar to be careful with the sharp carving knives, cut to an ambulance.Emma says her eggnog tastes off and Oscar tells her to drink it anyway, cut to an ambulance. Emma again tells Oscar to be careful with the knives, so Oscar gives them to a very young Brent, cut to an ambulance. At the end of the episode, Brent climbs onto a shaky ladder to take down some mistletoe, time for another ambulance cut. Emma watches the ambulance pull away and says, "Same damn thing every year."
Steptoe And Son used a variation featuring a fire engine instead of an ambulance.
In one episode of Malcolm in the Middle, Lois gets fired and the family tries to cut their budget while Lois is unemployed. When people in the neighbourhood find out, they start sending them canned goods. While they reluctantly accept them, Lois goes into a rant about how people only ever donate the crap they don't want. Hal says the olives he's eating are perfectly fine, and Lois points out the can he's eating from is supposed to be peaches. Cue the speeding ambulance.
In another episode, Dewey begins dancing with his elderly babysitter, who really gets into the dancing. Cut to an ambulance driving away outside the house, with Dewey waving goodbye.
Done in Last of the Summer Wine where Nora and Ivy joke about showing off their "Flapper" outfits to Compo (who had a thing for Nora), cut to an Ambulance and then a hospital waiting room. This is because prior to filming that episode Bill Owen who played Compo passed away, and they wrote Compo out with a heart attack.
An episode of Seinfeld has George visiting a holistic healer for help with a tonsil problem. He's given a herbal concoction, which leads to this trope crossed with Gilligan Cut (unusually for this trope, the journey in the ambulance is used for several more gags).
George: Hmm. Not too bad.
[Cut to ambulance. Inside, George is bright purple.]
George: I'm an eggplant! I'm an eggplant!
On The Office (US), after Deangelo attempts a slam dunk on a free-standing basketball hoop and pulls the whole thing down on top of himself.
The music video for Stevie Ray Vaughan's "Cold Shot" has three of them, each time as a result of his wife assaulting him for focusing more on guitar playing than on her.
During one arc of Anime News Nina, a woman that has deluded herself into thinking she and Kevin are anime characters threatens to cut herself if he leaves her. Kevin engages in some Tempting Fate, saying she wouldn't be likely to do it. Fortunately, the comedic nature of the strip kept the obvious result from getting too dark.
From The Simpsons episode "Homer and Apu" (in season five), Homer buys a pack of ham that expired in 1989 (it was 1994 at the time this episode aired). The first time he eats it, Homer gets a horrible stomachache (but keeps eating!), then it cuts to the ambulance. After Homer spends some time at the hospital, he returns to the store and complains to Apu that the ham made him sick. Apu then bribes Homer with ten pounds worth of bad shrimp, which is then followed by a jump cut back to the same footage of the ambulance. (The ambulance itself is Stock Footage for the show. It was used when Mr. Burns went to the hospital in the season two episode "Blood Feud", and in "Homer's Triple Bypass" after Homer passes out from a heart attack after Mr. Burns yells at him for being a lazy, incompetent worker.)
Also, in the season eight episode "Lisa's Date with Density", Lisa asks Milhouse if he can deliver a note to Nelson Muntz. The note reads "Guess who likes you?", Nelson looks back and sees Milhouse wiggling his eyebrows. Jump cut to Milhouse being wheeled out of the school on a gurney with everyone in the school watching.
There's another episode where Squidward tries a Krabby Patty for the first time and becomes addicted. At the end, he breaks into the Patty Vault and eats all of the burgers. After SpongeBob remarks that they'll go right to his thighs...and then blow up, we see an explosion, and then a cut to the ambulance, with Squidward blown to pieces, all of his tentacles in a bucket.
Immediately after SpongeBob is finally admitted into the Salty Spittoon, there is a cut to the ambulance and it is revealed he slipped on an ice cube and got covered in boo-boos.
American Dad!: Roger goes so crazy from trying to keep the house clean that he spreads gasoline everywhere and lights a match. Cut to a fire truck passing by the restaurant at which Stan and Steve are dining.
In the Regular Show episode "Eggscellent", Rigby goes to a restaurant to eat an enormous omelette in order to win a promotional hat. The moment he orders the omelette it cuts to him in an ambulance because apparently he was allergic to eggs.
This also happens in "Death Punchies" when Rigby tries to play punchies with Skips.
In The Hair Bear Bunch episode "Love Bug Bungle," two policeman radio for an ambulance after Botch tells them that he and Peevly were chasing three bears on an invisible motorcycle.