Many people (including Meg Cabot) seem to overlook the fact that Michael not only helped Judith Gershner cheat on her boyfriend but also "jokingly" told his much younger girlfriend that he "wasn't going to wait forever" for them to have sex.
Similarly, J.P. points out several of Lilly's faults, including the ways she mistreats Mia. We are later supposed to attribute this to J.P.'s Manipulative Bastard nature trying to pit Lilly against Mia, but his points are valid. Tina also points them out more gently, namely about Lilly getting Green-Eyed Monster about Mia getting attention from guys.
The entire Lilly/Mia conflict in the final books is divisive. Was Mia too self absorbed to notice Lilly's pain, or was Lilly irrationally blaming Mia for something that wasn't her fault?
Angst? What Angst?: Olivia is remarkably emotionally stable for a child who's been treated the way she has. She also handles the abrupt changes in her life, including having to move across the world, with little-to-no trepidation.
Author's Saving Throw: Following Lilly's Disproportionate Retribution over JP breaking up with her to date Mia, and Mia being oblivious which a good number of fans commented on, she gets Demoted to Extra in Royal Wedding though she does play a small role. Also, while Mia gets Lilly back as a friend, they aren't as close as they used to be, and Lana was a much better friend to Mia during their senior year.
Ensemble Darkhorse: Lilly in the films. Not so much in the books where the Darkhorse is Tina.
Book example: Michael insists that Mia has to have sex with him in order to be a true girlfriend. She eventually gives in. When she walks out on him before they can do the act, even her PARENTS say that she did the wrong thing. The only guy who stands up for her decision turns out to be an inadequate boyfriend for her. Eventually she reconciles with Michael because First Guy Wins. The moral of the story? If you love him, sleep with him, even if he's fooled around with girls where it 'didn't mean anything' and he's being manipulative about the issue of sex and YOUR RESPECTIVE AGES MAKE IT STATUTORY RAPE.
Mia has an extremely romantic view of sex wanting to skip collage and go out on a whaling boat with Michael to have sex. She also has the idea of a romantic prom night deflowering that fails to account for her emotional state at the time. This didn't work out when JP tried it. Her mother an Michael both call her out on it and Michael claims that he would like to have sex at some point as part of their romantic relationship. Which is totally normal and reasonable. he actually refuses to have sex with her when she tries to use it to manipulate him because he thinks she isn't ready.
It's not clear whether Mia told her dad that she had been planning on having sex. She explicitly says that she did not tell her mom, because her mom would be mad at her about using sex for manipulation. No one tells her she should have had sex. Some reactions could still be filed under Family-Unfriendly Aesop: her parents tell her that she is being too hasty in breaking up with him over having had sex before and not telling her, and Tina tells her she should talk to Michael and maybe give him another chance. Lilly calls her out on judging him for having had casual sex and on trying to manipulate him into staying, both of which are fair. Boris is the one who delivers an unquestionably Family-Unfriendly Aesop: a messy breakup without closure that leaves both people miserable is better than the potential of a long distance relationship.
The books, mainly due to the cultural references, can veer into this. Like in the second book, where it's mentioned that Beverly Bellerieve is sitting in front of the World Trade Center for Mia's interview.
Lilly creating a hate site featuring footage from Mia's school would get her in a heap of more trouble now, given certain hate sites have led to people getting Driven to Suicide, and to cyberbullying laws being made.
Jerkass Woobie: Lilly becomes this in Book 10, after revealing that J.P. slept with her and dumped her specifically to date Mia after Mia and Michael broke up. Mia even says that while J.P.'s terrible behavior doesn't justify Lilly's actions, it makes them understandable.
Magnificent Bitch: Grandmere borders on this sometimes. At one point she puts on a school play to help Mia raise money enough to save the student government, ensure her own purchase of an island in Dubai, and get her granddaughter closer to a boy she thinks is more suitable consort material. She succeeds on all counts.
Suetiful All Along: Mia, mainly due to Sympathetic P.O.V., doesn't consider herself attractive, and describes herself in unflattering terms despite the fact that she is tall and thin with blonde hair and Gray Eyes, and is even compared to looking like a model at certain times. We, the reader, are meant to notice that she is actually very pretty and is attractive enough to get attention from several boys. Even Grandmere thinks she's pretty and wishes Mia could see it. By the tenth book she seems to have accepted that she is attractive and has taken effort in her appearance and fashion (mainly due to her friendship with Lana).
Take That, Critics!: Meg Cabot has long gotten flak for putting pop culture references into her books. In Princess In Training, Mia struggled with an English teacher who disparaged her for the same thing, resulting in the novel's CMOA in which Mia calls her on her overly-rigid view of what constitutes "culture."
Wangst: Mia veers into this at times. Possibly justified in that the story is written from entries in her personal journal, and it would make sense for her to be inwardly over-dramatic. (This trope is the source of several Funny Moments in the series.)
An even bigger example is the scene where the maids attempt to distract the Grandmother for the Princess... by singing "Frère Jacques", dancing, putting pots onto their heads, and then taking them off and clanging them together while singing, "DING DANG DONG! (clang!) DING DANG DONG! (clang!)" Its absolutely surreal in its own right, comes out of nowhere, its never discussed again, and seems so random and out of place that the sheer "WTF face" shown by Julie Andrews is mimicked by everyone in the audience who sees that scene.
Family-Unfriendly Aesop: The movie seems to believe that Beauty Equals Goodness - no matter how strong or intelligent or charismatic Mia is, she must look like a supermodel at all times or she isn't worthy of having authority or being noticed. Note that the villains in the first film are hideous and the film makes sure you're aware of it.
In the books, Mia points this out and mocks the movie creators about it.
Fridge Horror: Mia is fifteen years old in the film. The newspapers published pictures of a semi-nude fifteen year old and another of the same girl getting forcibly kissed.
Paolo: I love your eyebrows, I shall name them Frida and Kahlo. If Brooke Shields married Groucho Marx, the kid would have your eyebrows.
In the second film, Lilly calls Brigitte and Brigitta Rosencrantz and Guildenstern.
Hilarious in Hindsight: The part with Prince William in the second movie becomes all the funnier once the Royal Wedding comes to mind.
In The Princess Diaries: Royal Engagement, when Chris Pine's character is shown the "easy way" to win at darts, he objects with "That's cheating!". Cue Kirk and his approach to the Kobayashi Maru scenario in Star Trek...
Stan Lee's cameo in the second film, which actually predates Disney buying Marvel.
Also in Royal Engagement, Chris Pine's character is referred to as "an almost-Prince Charming" at one point. In the 2014 film version of Into the Woods, Pine plays the Prince Charming.
Unnecessary Makeover: Dovetailing with the Family-Unfriendly Aesop, the Hollywood Homely Mia has to get a makeover because she has glasses and a ponytail curly hair. On the other hand, she's clearly unhappy with her appearance until her makeover. And bear in mind, her makeover was more suited for a public figure than a high school student.