A very common trope is the Ugly Guy, Hot Wife pairing. This is mostly because society's standards for female beauty are far higher than that for men, and women are often thought of as loving people on the inside, while men love women for their bodies and sexual wiles. Or it can be for another very good reason.
However, as rare as it may be, the inversion does in fact exist, e.g. there are many birds where the male is brightly colored but the female is duller in its feathers. While it's nowhere near as common, sometimes a totally hot hunk will end up with a Gonk of a girl. This usually plays on previous misconceptions of men and women's stances on love. Maybe the man has some ulterior motive. Maybe the girl managed to force him into such a relationship. Or maybe, just maybe, they really are in love.
This is not a YMMV trope; this is when the woman is clearly ugly, fat, skinny, or very visually displeasing in some way, while the man is incredibly attractive. Don't put down an example where "the guy is kind of good looking and the girl is kinda ugly, I guess".Spear Counterpart of Ugly Guy, Hot Wife.
Invoked in Spice And Wolf: Lawrence◊ explains that Horo◊ (who he introduces as "my wife") is hiding her face in a cloak because she's embarrassed by her horrific burn scars. In fact, Horo is hiding her Unusual Ears.
Sumiyoshi's parents from the Excel Saga manga. His father is a "normal" attractive anime guy, while his mother looks like a girl Sumiyoshi (Gonk). Also hilarious is that the mother is the only one in that family that actually speaks, while Sumiyoshi, his father, and his adorable little sister Canal all "speak" the same way.
Comic Books
Jack Kirby's Galactic Bounty Hunters, where Tyr looks like a Mr. Olympia contestant but his fiancée is fat, smelly, and very ugly. To be fair, they're aliens and from the way he acts she seems to be attractive by the standards of his race.
Runaways Gert is a fat, nerdy girl. Her boyfriend? The attractive, heroic jock Chase.
Film
Gleefully used in the film Hairspray and its subsequent adaptations, where plump Tracy Turnblad wins over her teen idol classmate Link Larkin, who loves her no matter what she weighs.
Which of course mirrors the loving relationship between Wilbur and Edna Turnblad. Especially in the movie musical, with Christopher Walken and John Travolta singing and dancing together in "You're Timeless to Me".
High School High: Mr. Clark took after his mother (who looks exactly like John Lovitz).
Robin Hood: Men in Tights: This becomes the Sheriff of Rottingham's fate, after cutting a deal with the Witch to save his life; where he reluctantly agrees to marry her in exchange for a magic pill.
She Devil: The failure of such a relationship drives the plot. In it, a man played by Ed Begley, Jr. is married to — and later cheats on and abandons — his wife, played by Roseanne Barr, who then seeks revenge. It's stated that he was trapped into marrying her after getting her pregnant in high school.
At the end of Brave, the nursemaid Maudie ends up with the Dingwall hunk.
Literature
In Harry Potter, it is established that the late Merope Gaunt was "no beauty" and got her handsome Muggle husband by feeding him love potions. When the potions ran out, he fled the relationship, she died, and their child went to an orphanage where he grew up to become Voldemort.
Used in The Obsidian Trilogy by Mercedes Lackey. Idalia, while certainly a beautiful human, has an elf pining for her. Then, at the end of the series, it's subverted, when she's reincarnated as an elf, though it's acceptable because this is the only way both would find long-term—by elven standards—happiness.
Semi-used with Kellen and Vestakia—the fact that she looks like a Demon may repel others in-universe, but the reader is more likely to see her as a Cute Monster Girl.
In Fairest, Aza, who receives rude stares and comments about her appearance and is implied to be descended from gnomes, has a handsome prince fall in love with her.
Ron and Sarah in Russell Banks's short story "Sarah Cole: A Type of Love Story". At least, that's what Ron would like you to think: depending on your interpretation, he might very well have exaggerated Sarah's ugliness to try to justify his cruel treatment of her.
Live-Action TV
Married... with Children with Jefferson and Marcy D'Arcy, the Bundys' neighbors. Amanda (Marcy) Bearse was hardly ugly, but the joke was that she was a "chicken", a scrawny woman with no feminine features, and Jefferson was her trophy husband.
In Gossip Girl, Dorota's husband Vanya is much more attractive than she is.
Rae's (rather frumpy) mum in My Mad Fat Diary lives with Karim, who is younger and fitter than her.
Glee: Lauren, a fat girl (not Hollywood Pudgy, she's actually pretty fat) goes out with the super-hot, super-popular jock, Puck.
The British sitcom The Vicar of Dibley sees plump Dawn French paired with tall, dark and brooding Richard Armitage. granted, she's the protagonist, and it was only in the season finale, but still. In Real Life, Dawn French was married to Lenny Henry. The show played a little with the issue. Her significant weight gain and eventual loss was even made part of the storyline. So this can depend on which episode you watch.
Miranda constantly makes jokes about Miranda Hart being masculine, overweight and very, very tall. Yet she gets attention from quite a few very handsome men, especially Gary, her main Love Interest. However, it should be noted that Miranda Hart writes it herself, and there are a few real-life men who consider her attractive.
The Drew Carey Show: Mimi is large, unattractive, and doesn't do herself any favors with her make-up and clothes, yet, she doesn't seem to have many problems in the romance department.
In the post-movie Spongebob Squarepants episode Banned in Bikini Bottom, we're given a stuffy, uptight elderly lady whose husband turns out to be the young, muscular, ridiculouslyhumanlike Chief of Police. It's implied he married her for her cooking, which is odd considering she literally hates anything "fun and delicious", leading a whole community against it.
In one Treehouse of Horror episode of The Simpsons, the ugly evil witch who holds Bart and Lisa captive claims that she has a boyfriend, but the kids don't believe her. After Homer defeats the witch by stuffing her in the oven, her handsome boyfriend comes to her house, wondering where she is for their date.
Wallflower Tango, a German animated short, is about a woman with baggy eyes, a pointy nose, sagging breasts and deep laugh lines finally finds her chance at love when she catches a tall dark male burglar with a barrel chest and square jaw trying to steal her diamond.