Raquelle accidentally refers to Chelsea as "Kelly", a shout out to the original name that character had in The '90s and the Turn of the Millennium before being rebranded/renamed.
After meeting Grace, Barbie proclaims, "She is so in style!", name-dropping the doll line that introduced Grace.
Other Outside References
As mentioned on the main trope page, Raquelle's slow-motion run in "A Day at the Beach" has music evoking that played during the opening of Chariots of Fire.
Raquelle's boutique features prominently a Sistine Steal of The Creation of Adam, with Ryan taking the place of both God and Adam.
"Closet Princess 2.0" borrows heavily from 2001: A Space Odyssey, most notably through Barbie having a Cyber Cyclops that refuses to let her go outside, as well as a topiary of cavemen beating a monolith.
"Occupational Hazards" also features music similar to "Also sprach Zarathustra" and a close-up of Ken's head in a space helmet while flashing lights fly by.
Raquelle quotes Jaws in "Accidentally on Porpoise" to explain her fear of dolphins.
In "Mission Impawsible," Blissa, Taffy and Tawny see a film called Paws, where the shark is replaced with a giant Blissa. Taffy and Tawny are terrified, but Blissa comments "Meh, I've seen worse. I'vedoneworse."
Part one of "Gone Glitter Gone" has Stacie hiss, "Chelsea, give us the precious!" in a manner similar to Gollum from The Lord of the Rings.
Part two of "Gone Glitter Gone" evokes The Godfather as Chelsea implores Skipper, "Make me an offer I can't refuse." Also, Skipper gives Chelsea the severed head of a plush horse, offering to trade the whole horse for the glitter jar.
Ken quotes Spider-Man when he describes his Barbie Sense in "Occupational Hazards", claiming, "With great power comes great responsibility."
Summer rides the Mattel-branded hoverboard from the Back to the Future sequels at the end of "Endless Summer". This shows up again in "Malibu's Empirical Emporium".note Mattel has actually sold their own branded prop replica of the board, which is likely why they were able to use it in these episodes.
"Another Day at the Beach" opens on a sand sculpture of the Rock 'Em Sock 'Em Robots.
The entire ending of "Happy Bathday to You" parodies the famous ending scene of Thelma & Louise.
Raquelle cries I'm Melting!! when Ken sprays her with a hose at the end of "Cringing in the Rain".
"The Ken Den" features gigantic barbecue ribs as well as a parody of the famous "dogs playing poker" painting.
The TV Special episode "Trapped in the Dreamhouse" reveals that the Dreamhouse has a Raiders of the Lost Ark-styled booby trap as well as a staff-and-gem-using locator and a thermal exhaust port weakspot. In addition, when Barbie has to take things out of her handbag so that it'll be the same weight as the thing she wants to remove from the booby trap, one of the things she takes out is a standard lamp.