Snarky loser hero meets snarky haughty girl. They either fall in love, or they snark. And usually both.
This is essentially a satire of the standard Magical Girlfriend, which describes a beautiful, classy, good-mannered, loyal girl - the logical result being she should be somewhat critical of her loser boyfriend. She makes no attempt to ignore the fact that he is the Loser Guy, and frequently calls him on it, criticizes him, and rarely if ever fawns over him like some Fangirl. She expects better from him and pushes him to improve, while still expecting to be taken care of. However, the guy usually takes it in stride, mocks her in return, or just says, well...
A series usually says Aww, Look! They Really Do Love Each Other to avoid portraying her as a total ball buster. Often appears in Love Comedies, depending on how satirical the story is.
See also Tsundere. Related to Belligerent Sexual Tension. Compare/Contrast Surrounded by Idiots.
If it involves an actual Princess Princess, see Royal Brat. The Woman Wearing the Queenly Mask can make similar demands.
The trope name comes from the old The Legend of Zelda cartoon, where Link would quite often retort to Zelda's nagging with those words.
Louie and Melissa in Rune Soldier Louie, as Melissa constantly criticizes Louie and tries to turn him into a 'champion'.
This sums up Koji Kabuto and Maria Grace Fleed's relationship in UFO Robo Grendizer, which might be one of the (if not the) earliest examples in anime. Considering that Koji is himself, Maria's behavior is understandable.
In Oregairu, its a notable element of the chemistry between Hachiman Hikigaya and Yukino Yukinoshita. Although compared to the average person, it's debatable if Hachiman is a loser. Still with Hachiman compared to Yukino this trope is likely to apply. Yukino is described as incredibly beautiful, a strong first academically and, in Hachiman's words (LN), the "epitome of nobility". On the other hand, Hachiman is described as having an unpleasantappearance, academically variable at best and socially awkward.
Sayoko from Tentai Senshi Sunred is the girlfriend of Sunred, an ex-sentai hero who's unemployed. Despite being the one of them not capable of punching holes in concrete and running at the speed of sound, she's the one who does everything around the house, owns their apartment and stationary, earns a steady paycheck, and (with her limited spare time) tries to get Sunred to apply himself.
Princess Eilonwy in the Disney animated version of The Black Cauldron, who patronizes Taran when she learns that he's not a warrior or a lord, but an Assistant Pig Keeper. When Taran pats himself on the back for enabling their castle escape, she takes him down a few notches by reminding him not only that her knowledge of the dungeon passageways allowed him to break out of there, but that Taran's magic sword did most of the work. She initially found him "fascinating" for being an Assistant Pig Keeper in the original Chronicles of Prydain because she had never met an Assistant Pig Keeper before. In fact, she held a persistently casual attitude towards most everything. Though there was an element of the stated trope present, she didn't judge him less for his station. Except when she is Brainwashed and Crazy.
Jasmine of Aladdin - however, this is completely dead by the third movie...she is very fawning in that one.
For a while after Star Wars, Harrison Ford was typecast for this kind of storyline. The number of movies with the premise "Harrison Ford is forced together with haughty woman and they hate each other but eventually fall in love" is considerable.
In The Princess Diaries 2, Mia and one of her suitor constantly bitch at each other. It's like they WANT to hate each other.
Prince of Persia: The Sands of Time with Dastan and Tamina since Dastan (as the adopted son of the King of Persia) should be higher ranked than Tamina (as princess of a smallish city state). Sure Dastan was born an urchin but after spending most of his life as a prince the interaction comes across as odd. He defers to her (when he's not selling her to bandits) because he's a gentleman, she's overbearing and holds a grudge because he is the main reason that Persia was able to conquer her small city-state. The overbearing attitude was more or less an act because she nearly escapes (and kills) Dastan because of it.
In David Eddings' Belgariad, this is Garion and Ce'Nedra's relationship condensed down to four words. Unsurprisingly, she's pissed when she finds out that he isn't just a farm boy, but the long-lost heir to the Rivan Throne and hereditary Overlord of the West... in other words, more royal than she is. Belgarion has the foresight to find a way to make them equal in status to preserve his own sanity after the marriage.
Josua and Vorzheva's relationship looks like this for most of the first and second books.
Aravis to Shasta in C. S. Lewis's The Horse and His Boy. This defines their relationship from the very beginning. Their first words to each other: "Why, you're only a girl." "And you're only a boy. A rude, common little boy. A slave probably who's stolen his master's horse!" The Lemony Narrator even jokes about this at the end, when he tells the readers that they continued to affectionately bicker and eventually decided to get married so they could continue to do so more conveniently.
Elizabeth: My behavior to you was at least always bordering on the uncivil, and I never spoke to you without rather wishing to give you pain than not. Now, be sincere; did you admire me for my impertinence? Mr. Darcy: For the liveliness of your mind, I did.
Winterbourne: I wish you would flirt with me, and me only. Daisy: Ah! thank you—thank you very much; you are the last man I should think of flirting with. As I have had the pleasure of informing you, you are too stiff. Winterbourne: You say that too often. Daisy: If I could have the sweet hope of making you angry, I should say it again.
Christine of The Phantom of the Opera (the original novel by Gaston Leroux) never lets Raoul push her around and has no problem telling him to mind his own business.
Kitai of the Codex Alera. She wanted to bond with a horse, and continues to remind Tavi at relatively regular intervals. She doesn't just look down at him for personal reasons, but also detests his species. She snarks it up with some of the best and, yes, they do eventually fall in love. She gets a Quip to Black to end out the series that doubles as this trope. It's also a mild genderflip: Tavi's royalty, Kitai's just the daughter of the head of one tribe, and her people's diplomat (appointed by Tavi).
Arya of the Inheritance Cycle tries to do this to keep Eragon at bay, because even though he's an adult by human standards, by the standards of the semi-immortal Elves and Dragon Riders he's the youngest of kids. She's the child of the queen, groomed for leadership, her people's diplomat, a warrior, and he's a moonstruck fledgling rider who is their only hope and doesn't need the distraction. In retrospect, she's right and he's still finishing puberty.
Priscilla in Henry Wadsworth Longfellow's Narrative Poem "The Courtship of Miles Standish". Her snarky, "Why don't you speak for yourself, John?" has even achieved meme status.
Canderous refers to Bastila specifically as "You spoiled little Jedi princess." Because of this, Canderous/Bastila is an ascended Crack Ship, popularized when a fanfic writer (who writes romance novels professionally) took a whack at it.
Robin notes that everything Marian says to him sounds like a criticism.
Allan-a-Dale's priceless reaction◊ to Kate snapping: "My NAME is KATE!" by way of an introduction. His expression qualifies.
Buffy the Vampire Slayer: Both of Xander Harris' girlfriends, Cordelia and Anya, had a strong tendency in this direction. By the time he's going with Anya, he's more competent at arguing back, and so the trope is lampshaded in dialogue.
Star Trek example: The Daughter of the Fifth House, Holder of the Sacred Chalice of Rixx, Heir to the Holy Rings of Betazed! For non-Trekkies, that's Lwaxana Troi, Deanna's mom. She marched around the Enterprise and Deep Space Nine like she owned the place, and looked awesome doing it. At least once per appearance, she would say her full title when letting some unfortunate schmo know who they were dealing with, in a way that would evoke the local equivalent of "Well, excuuuuse me, Princess!" if not for the diplomatic incident it would cause. She wanted to be Picard's Love Interest, but he wasn't interested... though she claims otherwise, and she would know. It's made all the more hilarious that Lwaxana was played by Majel Barrett Roddenberry, and therefore literally owned the place (the idea, anyway).
Later appearances had her blow through the titles like she was sick of saying it, generally when she honestly expected people to not be impressed. Her introduction to a certain constable springs to mind...
Kaitama the First Monarch in the Star Trek: Enterprise episode "Precious Cargo". She starts off as a kidnapping victim Girl in a Box. When she is removed by Trip Tucker, she spends the episode being this to him while they escape from the kidnappers, leading to the inevitable squabbling, torn clothing, and passionate clinching.
Cheers: Diane often acts like this, much to Sam's chagrin.
This trope is explored in the iCarly episode "iDate Sam and Freddie".
Joey had this kind of relationship in an episode of Friends with his co-star in a play. After much snarking they realised they were attracted to each other, but after they had sex they realised the UST had been driving their performances in the play.
In Once Upon a Time, when Charming and Snow White get properly introduced for the first time, this is thrown around with abandon. Most of the time it's Gender Flipped, with Snow being the one who nicknames him "Charming".
Roxane of Cyrano de Bergerac is an intellectual who needs a guy with eloquence and creative genius, and if you can't deliver, she'll show you the door.
Clarine of Reglay in Fire Emblem: Sword of Seals, especially in regards to Rutger the myrmidon and Lance the cavalier. She eventually warms up to them and to the female Archer Dorothy, not always putting status before everything. (And Rutger admits in their A support that he likes her better like this. Awwww.)
Ace Attorney: Phoenix Wright thinks this exact line (complete with a drawn-out "excuuuse") after one of Franziska von Karma's foolishly foolish lines for foolishly foolish fools. Given that the Ace Attorney series is laden with Shout Outs, this is probably another one.
There's also one in Ace Attourney Investigations when you are examining Lance Amano's testimony.
Thomas the Tank Engine was likely thinking this exact quote when Emily began trying to "advise" him in one episode. Then there was that time she took over Gordon's express and began throwing her weight around. Not to mention that one time when she visited an old castle and proclaimed her Queen Emily.
Defied beautifully in Daria, where most of the guys don't want to have any sort of relationship with her and they either didn't mind her snarkiness or didn't notice it. This was later justified as part of Daria's defenses against being emotionally hurt - she'd hit them, so they couldn't get close enough to get a chance to hurt her.
The Canadian series Stickin' Around has Bradley and Stacy involved in this, especially considering Bradley's air headed nature and Stacy's witty sensibility.
While they aren't in a love relationship (remove the Shipping Goggles and you'll see it) Gwen Tennyson often would have this attitude toward her cousin Ben in the original Ben 10 series. This happens often in the sequels series.