Not really a stealth pun in this case, however, since the phrase is made visible when Phillip spots the "Dogfight" attraction.
In Cars, Sally Carrera, the female lawyer car, is a Porsche. The term Portia is a slang term for a female lawyer; it was lifted from the female lead from Shakespeare's The Merchant of Venice, who impersonated a lawyer to defend Antonio against Shylock.
In a later scene, Lightning notices Sally (who used to be from Los Angeles) has a decal just above her bumper, the car equivalent of a tattoo on the small of the back, which is sometimes known as a "California license plate".
In another scene, Lightning claims Doc Hudson is a famous racing car, the Hudson Hornet, who "won three Piston Cups!", causing Mater to Spit Take and say "He did what in his cup?"
The name of Syndrome's island is only mentioned once: a passing reference to "current temperature on Nomanisan" during Mr. Incredible's second visit. "No-man-is-an Island". This could also serve as a Meaningful Name, if you consider the way Syndrome became who he is now.
This is also the reason for Violet's Meaningful Name (she's painfully shy, i.e., a "Shrinking Violet"). Or it could refer to ultraviolet, referencing her powers (energy shields and invisibility). Same with her brother Dash who is extremely fast.
Jack-Jack, as his powers are a "jack of all trades" thing.
Their ironic pun of a last name: Parr. As in average.
A meta-example, the "Incredits" track of The Incredibles soundtrack. A portmanteau of the movie's title, The Incredibles, and the word "End Credits", where the track is heard in the movie.
Also from the soundtrack, "Lithe or Death" when Helen has to use her powers to sneak into Syndrome's headquarters.
Think about this visual stealth pun. Mr. Incredible gets through a wall of lava to get to Syndrome's private computer. What's it called when a program on a computer is used to keep malicious outside forces, well, outside? Is it or is it not called a firewall?
WALL•E: When EVE comes back with a plant, activating the centuries old recolonization protocol, a manual pops out, which the captain orders to relay its information. AUTO shows him that the pages must be turned by himself; i.e., it is Manual.
WALL-E's name. It's actually A113 (a common running gag featured in many Pixar films, such as "Directive A113", also from this movie), but written in Leetspeak and with a "W" added to the front.
WALL-E (with the E standing for Earth-class) eventually runs into an Axiom-class version of himself named WALL-A. Actually, he runs into two of them. Which of course means that they're... WALL-A WALL-A. *rimshot*
Woody is the leader of Andy's room — in the first movie, we see that Slinky is (or used to be) the second-in-command. A cowboy... and a "long little doggy"...
In 3, one of the toys at Sunnyside Daycare is a blue stuffed kitten. Who gets played with by a little girl that tells it "Boo!"
At the very beginning of Finding Nemo, just right before the divers take him away, causing his father to go after them, Nemo can be seen attending school with several other young fish. A group of fish is actually called a school.
Almost every name in the movie is a reference to fish or something water-related. Gil, Marlin, [Captain] Nemo, Anchor, Chum... Even Deb (Flo and Deb, or, if you prefer, Ebb and Flow).
Ratatouille has a few to boast of as well, including Alfredo Linguini, whose name is so dreadfully punny it's almost painful to utter aloud, and Anton Ego. Along with the title of the movie, of course, although that's lampshaded.
In Disney's Robin Hood, Maid Marian (a vixen) has a hen as a nursemaid, but nobody references the aphorism about "setting a fox to watch the henhouse".
Probably because a hen is watching the foxhouse, which isn't a thing.
There is, however, the saying about someone who is constantly anxious and worried being a "mother hen".
It could also mean that Maid Marian is "henpecked" by her nursemaid.
A scene specifically depicts Friar Tuck, who is portrayed as a badger, cheering during a fight scene, while the music playing in the background is the fight song of the University of Wisconsin Badgers.
In Corpse Bride, the bar where Victor first arrives is called the "Ball and Socket", making it the Ball and Socket joint. And the bar is a popular place, or a "hip joint."
The head waiter is a head who happens to a waiter.
While looking for Victor, Emily passes by a second-hand store that sells hands for people that lost the first one.
Toward the end of the "Pomp and Circumstance" sequence from Fantasia 2000, a female dove actually bursts into tears after Donald Duck throws her mate over the railing of Noah's Ark so that he can find the olive branch.
One of the lyrics from the song "Topsy Turvy" from The Hunchback of Notre Dame is "...every clown's a king and every king's a clown...". The song is question is actually sung by Clopin, a colorful and enigmatic character who constantly refers himself as the king of the Gypsies, and dresses up in a clown suit.
Atlantis: The Lost Empire featured giant insects that for some reason caught fire and exploded if they made contact with anything on the ground.
At the end of the film, Kida is last seen climbing up a large rock structure wearing a long, flowing dress and a tiara with pink and blue feathers coming out of the back, making her a High Queen.
In Antz, the two main characters come across two insects by the name of "Chip" and "Muffy" who talk with Thurston Howell III type accents and act in other ways consistent with the stereotype of a White Anglo-Saxon Protestant. While never specifically named, its obvious from their character models that they are in the order hymenoptera, specifically WASPS.
Brave: At the end, Elinor says that she's like a "wee baby" after transforming back into a human. The pun is that she is bear naked.
The Rugrats Movie had Charlotte say towards the beginning of the movie, when referring to the soon-to-be-born Dil, "You know what they say - born under Venus, look for a—" which is then interrupted by her cellphone ringing.