The article is jaw dropping in just how little the writer knows about the show, anyone who has just watched one episode can see it. Homophobic comes from Rainbow Dash "looking" angry in posters added with her rainbow color scheme and tomboy looks making her look like a stereotypical angry butch. Racist comes from Celestia being white while her guards appear to be black note they aren't even actually black, just dark grey - the only black ponies seen at the time were Nightmare Moon and a few background characters who weren't guards, and nevermind the fact that there are white guards even in the first episode. Smart Shaming comes from Celestia ordering Twilight to get out of the library and go see the world and make friends note the problem wasn't that she liked studying, but that she studied so much that she neglected everything else in life.
If you read the article, it's clear that the last part of the show she watched was the end of the opening credits.
The Hub's Facebook page called Rainbow's Shadowbolt costume a Wonderbolt costume. It's their own show!
They initially called Discord a dragon instead of a Draconequus (or Dragonokis, as they misspell it).
In a profile of Applejack◊ it was stated that "Big Mac" was her husband (he's her brother) and Apple Bloom and Granny Smith were their daughters! (They are their sister and grandmother, respectively.)
A local news segment called In Living Glover in St. Louis has claimed that the "Bronies" are man-children who love the show so much that they collect disability payments so they can stay home and watch the show all day.
In general, a lot of news articles about bronies define them exclusively as male, when there are in fact a number of older female fans of the show who also call themselves bronies. It started as the male term (female being pegasister), but come on.
"An article on Monday about Jack Robinson and Kirsten Lindsmith, two college students with Asperger's syndrome who are navigating the perils of an intimate relationship, misidentified the character from the animated children's TV show "My Little Pony" that Ms. Lindsmith said she visualized to cheer herself up. It is Twilight Sparkle, the nerdy intellectual, not Fluttershy, the kind animal lover."
According to the official MLP magazine from Turkey, "Applebloom's friends Scootaloo and Sweetie Belle doesn't care much about cutie marks". They do care about them, and it is in fact one of their major motivations story-wise.
A Los Angeles Times article covering the fandom and future of the program claimed the then-upcoming character Shining Armor was going to be the first male pony on the show. There were many stallions seen before then, most prominently Big Macintosh.
The Bayerischer Rundfunk once reported on a brony meetup in Munich, during which they referred to Rainbow Dash as Rainboy Dash while trying to explain bronydom.
The Italian TV Guide description of the show says "In Paradise Estate the Little Ponies live their pacific lives based on music and playtime. But not every inhabitant of Ponyland is pacific like them..."... Which blatantly refers to the original TV show.
One article written by a woman complaining that classic kids' toy and games were getting too "sexy" for kids, keeps calling it "My Pretty Pony", which was the name of the original toy that the entire MLP line spun-off from.
A couple of episode summaries provided by TV guides (such as those on Dish Network) are incorrect:
One summary for "Mare in the Moon" says "After trying to warn Princess Celestia about the Nightmare Moon, the ponies travel to Ponyville." Only Twilight Sparkle was trying to warn the princess; the other ponies were already in Ponyville and they didn't care about Nightmare Moon until she showed up in person after kidnapping the princess. Also, Nightmare Moon is a name, not a title.
A summary for "Lesson Zero" claims that the plot of the episode is Twilight losing one of her friendship letters for her report to Princess Celestia. She didn't lose any friendship letters; the conflict was that she couldn't think of anything to put in a letter, as she felt like she hadn't learned anything about friendship in a while.
The description for "Flight to the Finish" misspells Scootaloo's name as Scottaloo.
The synopsis for "A Hearth's Warming Tail" describes Starlight Glimmer having the holiday blues. She just really didn't express any interest in celebrating the holiday.
A Daily Mail article about people with pastel hair claimed it to be the "Brony" style, a result of "My Little Bronies" wanting to recreate the colorful hair seen on the My Little Pony characters from the 80s. There are three problems here: the first being that "Brony" is not a hairstyle, the second being that these people are probably not dying their hair in order to make it look like the ponies' manes, and the third being that the term "Brony" refers to fans of a different incarnation of the series that came approximately 30 years later. Also, the pony shown in the article as an example is neither one from the 80s, nor one that bronies would be likely to even recognize, being G2 Morning Glory (released in 1997 as one of the Secret Surprise Friends).
My Little Pony: Equestria Girls
The website Animated Views had a news article regarding My Little Pony: Equestria Girls, saying that, after watching the trailer, they couldn't understand why it wasn't about ponies and the reasoning behind turning the ponies into humans attending high school. However, if one watches the trailer, not only are the pony characters actually in there, but only Twilight Sparkle gets turned into a human, and all the others come from an alternate universe where they are already (albeit oddly colored) humans.
Another article about Equestria Girls and the fandom made the infamous statement that the adult males in the fandom were "looking forward to seeing the ponies in their sexy humanized forms", apparently missing the fact that the humanized character designs were one of the most common criticisms of the movies by the adult fandom.
Hasbro themselves have given the following synopsis of Equestria Girls:
“Learn all about the magical parallel universe with high schools instead of castles, where six pony friends become real girls with a love for fun and fashion.”
First error: once again, the mistake is made of saying that six ponies become human, when only Twilight Sparkle becomes human in the movie; the other main characters are alternate universe versions that have always been human.
Second, they say that the girls have "A love for fun and fashion", making it seem like the movie will make the girls into the stereotypes Lauren Faust wanted to avoid. In the movie, the girls keep their personalities from the show: the fun-loving character is Pinkie Pie and Rarity is the fashion-loving one, with characters known for being tomboyish retaining such traits.
Third, the universe isn't magical. In fact, Twilight unable to use magic is even in the trailer. The only source of magic comes from Twilight's crown, which originated from the ponies' dimension anyway.
A Ukrainian commercial for Rainbow Rocks stated that The Dazzlings were lead by Aria Blaze and were bent on destroying Canterlot High, but then went to a shot from the show of Rainbow Dash and a shot from the first movie and showed a scene of Sunset Shimmer and said that "It's up to Rainbow Dash, Sunset Shimmer and their friends to go through the mirror once more!" forgetting the fact that it's TWILIGHT AND SPIKE that go through the mirror, not the rest, and the Dazzlings are led by Adagio Dazzle, not Aria Blaze. Also, they want to take over Canterlot High, not destroy it.
The product description on Amazon for Wondercolts Forever: The Diary of Celestia and Luna erroneously says that the titular girls take part in the very first Mane Event. The book actually more or less revolves around the very first Friendship Games — a very different thingnote In Rainbow Rocks, Principal Celestia mentions that the event in the film would be the first Canterlot High School Musical Showcase. And this is before the villains turn it into the titular Mane Event — an all-out hostile battle of the bands. The incorrect synopsis implies a Series Continuity Error. This detail is corrected in the Hachette Book Group listing for the book. What makes it particularly weird is that on that very same Amazon.com page the user can read the back of the book, where the correct synopsis is present.
Another erroneous product description, this time for the Equestria Girls Bookset. It starts fine, briefly describing the plot of Through the Mirror... And then it screws up magnificently by stating that, in the sequel film/book, the Equestria Girls create a band named the Sonic Rainboomsnote In this case not quite a mistake; the name was apparently trademarked as the Sonic Rainbooms and is used like that on more or less all official merch, but the films themselves always refer to the band as just the Rainbooms to battle against Sunset Shimmer's band, the Dazzlings. And it then states that Sunset Shimmer had a change of heart after that (in Sunset Shimmer's Time to Shine). This is very wrong: Sunset Shimmer had said change of heart after her defeat in the first book/movie, and doesn't join or attempt to join the Dazzlings at any point during the second. In fact, her attempts at redemption are the main drive of said film and its novelization.
A relatively minor one compared to the previously mentioned cases, but at least one plot synopsis for (again) the novelization of Friendship Games (the third film and fourth book in the series) has a line that implies that the Canterlot Wondercolts are going to use magic in order to win the Friendship Games. In the film and book itself, the girls' try to keep the magic hidden and even their vice-principal asks them to avoid using magic, in order to avoid accusations of cheating.
Yet again with the novelizations and their plot synopses/product descriptions — The eBook version of Legend of Everfree, for whatever reason, implies that Fluttershy is a primary focus of said film/book ("Can Fluttershy and her friends [...]" — nobody else is mentioned by name).
My Little Pony: The Movie
This AMC news video talking about the 2017 film uses what appears to be a screenshot, showing the Mane Six as god-level alicorns like Celestia and Luna. A quick search shows that this "screenshot" is actually fanart by a deviantART user. Thankfully, they credited the original artist.