Americans Hate Tingle: Barbie is simply disliked by a lot of Japanese fans, due to her grown-up nature, compared to the 11-year old Japanese doll, Licca-chan, but in America? She still goes toe-to-toe with Mattel to this day. She's fared slightly better as a fashion label over there, but not by much.
Cult Classic: Not the doll-line itself, obviously, but the Direct-To-DVD movies have a solid following of nostalgic fans, due to the surprisingly good writing. Even some of the latter movies have their fans, in fact, it's outright hard to find a Barbie movie without fans.
People like to joke that Barbie is Ken's beard, or even that they're each others beards.
Barbie being an orphan is exceedingly common. This is because her parents are never mentioned outside of books, so it's largely assumed that they're dead.
Chelsea's middle name being "Kelly" is used to explain what happened to Barbie's toddler sister from the 1990s.
"Tutti" being a childhood nickname for Stacie.
Hilarious in Hindsight: Barbie's full name is Barbara Millicent Roberts. Coincidentally enough, a certain Barbara Roberts took up politics and was governor of Oregon for a time. Barbie Roberts' political career (as President of the United States no less) wasn't so far-fetched after all.
1993's infamous "Earring Magic Ken" was discontinued due to accidentally looking too much like a Camp Gay stereotype. It was also the best selling Ken doll in the franchise's history specifically because gay men brought so many of him.
There's also a niche following of gay/bi women who grew up with the dolls.
Depicting Barbie as a Lipstick Lesbian isn't unknown amongst fans. She usually gets paired up with her buddy Teresa. Some of the direct-to-video films make them easily shippable as well.
Memetic Badass: She's been a supermodel, a spy, a chef, a racecar driver, a cheerleader, an Olympic athlete, a scientist, the goddamn President, and every other job you can imagine, and she's awesome at all of them. And she does it all at an unusually young age, with a smile on her face and in the most gorgeous clothes imaginable. Barbie's the most successful woman in the world!
The Problem with Licensed Games: They are made for little girls, and almost none try to reach beyond that. Especially the ones with interesting concepts, you'd think a Barbie designs stuff game would manage to be entertaining. Though some of the older ones have become minor So Bad, It's GoodCult Classics.
Barbie: Secret Agent for the Game Boy Advance among others was a rare aversion, as while it is by its core a Barbie game, pink motif and all that fru-fru, the reviewer at IGN found the game surprisingly competent "that neither insults their intelligence nor frustrates them with too much challenge."
A lot of collectors, especially older collectors, liked Barbie better when she had her original "cat eyes".
Fans of the films act this way when Barbie's speaking voice isn't Kelly Sheridan. She was replaced with Diana Kaarina for A Fashion Fairytale, brought back for Barbie in A Mermaid Tale 2, and then replaced again later with Erica Lindbeck.
In the 2000s, Ken and Barbie broke up and Barbie gained a new love interest. Fans hated that Mattel broke them up. However, it was just a short-lived publicity stunt.
Fans of the films have had mixed reception towards the 2010s changes to the series. Namely, usually portraying Barbie as a teenager instead of an adult (complete with a more youthful voice).
The 2013 Barbie book I Can Be a Computer Engineer was accused of teaching girls not to pursue technological careers, but rather that they should always get men to solve their problems, then take credit for their work. Amazon and Mattel respectively responded to the controversy by ceasing all direct sales of the book, and promising to write stories with an "empowered" Barbie.
Infamously in the 90s, "Teen Talk Barbie" caused this due to its controversial line involving math. The actual line is "Math Class Is Tough!". Mattel's intentions were relatabilty - few school kids like math and high school math classes are often considered hard - but parents heard it and were offended. The line either perpetuated Dumb Blonde stereotypes or made it seem like all women were bad at math. A good chunk of this issue ended up being due to the line being remembered incorrectly. It's often said that Barbie's line was "Math is hard!", or something similar, which sounds more like it perpetuates the idea that "girls are dumb". The doll ended up recalled as a result.
In the early 2000s, Mattel introduced the "Happy Families" line. It was discontinued due to complaints that it was promoting Teen Pregnancy. Midge and Alan were actually Happily Married and in their 20s at the time, however many people associate Barbie dolls with teenagers due to Barbie's fluctuating age.
The Barbie Video Girl and Hello Barbie dolls solicited controversy upon release, as besides concerns over children's personal information being transmitted to third parties, the Video Girl doll was criticised by the FBI as a possible conduit for recording child pornography.
Values Dissonance: Among other things, Barbie's and Ken's first commercials each end with Barbie getting married.
Viewer Name Confusion: It's a little known fact that the main character is actually named "Barbara Roberts". She's almost never called anything but her nickname "Barbie".