Well, two series of comics - one where Archie married Betty, the other where he married Veronica - were published to show potential resolutions of this. Now an ongoing series, Life With Archie: The Married Life.
A lot of the pairings in Spider-Man have been seen as analogues to the Archie Comics' Betty and Veronica, especially Gwen Stacy and Mary Jane Watson, even though the latter is a redhead, not a brunette. Gwen seemed to have won...until she died. Later, the comic briefly had Mary Jane as the Betty and Black Cat as the Veronica. Then Spidey hitched up with MJ and spent the next twenty years of real time in marital bliss with an understanding supermodelnothing happened.
Spider-Man writers seem to be fond of this trope. Originally it was a choice between "mature" brunette secretary Betty Brant (amusingly, the Betty) and the more girlish, flighty blonde Liz Allen (Veronica), who was briefly relieved by rich, stuck-up Gwen Stacy. After Betty left, Gwen became the sweet Betty and the Veronica role went to MJ. After Gwen's death MJ became the Betty and later on the Black Cat became the Veronica. Mary Jane in some ways subverted the Veronica role, though, as she always got on well with Peter's Aunt May (better than Gwen did, in fact) and always was the surrogate parents' choice.
The popularity of the trope manifests itself in the way characters are reinterpreted by readers so that they resemple the Archie archetypes more. This happens especially with Gwen Stacy - many of her fans incorrectly see her as a Girl Next Door like Betty Cooper (she comes from an upper-class Anglo-American family and Peter Parker only got to meet her when they started college because she lived in a different part of New York) and tend to downplay her beauty (Gwen was introduced as a high-school beauty queen and in one story she is taken along to the Savage Land to provide bikini-clad eye-candy). This popular misconception probably contributed to Gwen's reinvention in various adaptations, where she for instance becomes Peter Parker's high school classmate.
Ben Reilly had the spoiled and sometimes selfish blonde fashion student and the twisted, down to earth gothic girl. She was also the daughter of uncle Ben's murderer. In effect he had two Veronicas.
The Ultimate Universe swaps them, making Mary Jane the Betty and Gwen the Veronica. Then Peter chooses Mary Jane and Gwen is killed. Peter subsequently got involved with Ultimate Kitty Pryde and the clone of Gwen, but always returned to Mary Jane, until he was ultimately killed. Although the three alternated between being part of an Official Couple and the Rival, in truth all three are more Bettys than Veronicas.
X-Men had a long-running Love Triangle with Jean Grey, Cyclops (Betty), and Wolverine (Veronica)...which was turned on its head during Grant Morrison's early 2000s run, which introduced a Betty And Veronica love triangle with Cyclops as the center figure, Jean as the Betty, and Emma Frost as the Veronica. Then Jean dies, with the writers claiming she won't be back, but absolutely no readers believe that since coming Back from the Dead is part of Jean's power set.
In the earlier days, the Jean Grey love triangle had Angel in place of Wolverine, as Wolverine hadn't been introduced yet.
Another example was the love triangle between Havok, Polaris, and Iceman with Havok as the Veronica and Iceman as the Betty. Havok and Polaris have been through hell and back together since the earliest days of the comic.
Taking Rogue as Archie, she has Joseph (Betty) and Gambit (Veronica), then she has Gambit as the Betty and Magneto as the Veronica.
Flash Gordon does this several times: Flash must choose between Dale (the Betty) and Princess Aura (the Veronica); Princess Aura must choose between Flash (the Betty) and Prince Barin (the Veronica). The 2007 series confuses things by throwing Baylin (the Veronica) into the mix. And gets canceled before a resolution can happen.
Except that Baylin was more interested in Barrin than Flash in that series, and Dale and Barrin more or less hated each other. Aura did briefly fall in love with a sweet native of Mongo who could be the Betty to Flash's Veronica (seeing as Flash was an action guy from a different world), however that lasted exactly one episode, with Ming strangling the poor native love interest in front of Aura. And then it was sort of implied that Aura's long-lost brother had some... affections for her, which she didn't seem to return. 'Twas a bit screwy...
In Silver Age Superman, Lois Lane was somewhat Veronica-ish compared to Clark's childhood sweetheart Lana Lang. In the early modern continuity, Lois, a brassy investigative journalist who wouldn't give Clark the time of day romantically, was the Veronica, while sensitive, feminine, openly-in-love-with-Clark Cat Grant was clearly the Betty.
In fact, Lois and Cat were respectively the Betty and the Veronica in Superman: Secret Origin, which once again re-established Superman's origin in the post-Infinite Crisis continuity.
And later, after Lois fell in love with Clark and discovered his secret identity, she viewed Wonder Woman as the Veronica on several occasions. This was an unfounded worry on her part though, since Supes and Wondy are Like Brother and Sister... although not in the New 52.
Tim Drake (3rd Robin) from the Batman series has had his own personal love triangle in the early run of his solo book. He was dating civilian Ariana Dzerchenko (Betty) but was attracted to vigilante Stephanie Brown (Veronica) at the same time. Ironic, because Ariana has Veronica's physical appearance and bitchiness, and Stephanie has Betty's physical appearance and tomboyishness. Ultimately, Stephanie wins the triangle, with her becoming his most high-profile (and longest) relationship in the series.
Even after Stephanie and Tim's breakup, her fake 'death', Tim dating a new girl called Zoanne and later Stephanie's subsequent return to Gotham — Stephanie was still the Veronica, this time to Zoanne's Betty. And again, Stephanie wins the triangle (technically), with Tim breaking up with Zoanne on the phone, and then calling up Stephanie to try and patch things up with her.
Any of Tim's civilian girlfriends will end up being the 'Betty' by default due to his working partnership/love-hate-on-off relationship with Stephanie (who is always the Veronica).
Speaking of Superboy (Conner Kent) and Robin III (Tim Drake), both have dated Wondergirl. It wasn't much of a triangle to begin with, but Tim could be Betty/the nice guy and Conner Veronica/the bad boy. With the new Teen Titans reboot, it seems like there's a possibility this triangle might be happening soon.
Comic strip Luann deals with this frequently, with main character Luann (the reasonably nice Betty) competing with vain cheerleader Tiffany (Veronica) for Aaron Hill (Archie).
Luann also had to choose between the nerdy Gunther (Betty) and the cooler Aaron (Veronica). At least until Aaron moved to Hawaii, making Gunther win by default.
Another example had a competition between Luann's brother Brad (Betty) and Dirk (Veronica) for the affections of Toni. Brad won.
Sleeper has a version of this with the main character Holden Carver, his former government coworker Veronica (Betty), and supervillain Gretchen/Miss Misery (Veronica). The end result is a truly spectacular and accidental Murder the Hypotenuse, with Veronica shooting Gretchen, thinking she was about to kill Holden, and Holden reflexively shooting Veronica dead. He then had an experimental surgery to cure his condition that left him in a vegetative state, with his superior creating a little mental world for him where he lives on a beach with both Veronica and Gretchen, making this a rare canononical quasi-OT 3 solution.
Minimonsters has Victor Von Piro (Veronica) and Frank Einstein Jr.(Betty). However, the Love Triangle thing is subverted: Piruja (The not-so-Cute Witch version of Archie) is extremely amorous; and she was in love with Franky until she met Victor. As a consequence, she fell in love with him inmediately. In both cases, her love is unrequited.
Lanfeust is a textbook example with the hero's fiancée Ci'an (the Betty) and her troublesome yet alluring twin sister Cixi (the Veronica). The two are TWINS: gentle, proper Ci'an packs a mean right when angered, while sex-obsessed Cixi sometimes shows a softer heart than her sister, sometimes inverting their role. He ends up with Cixi after she becomes awesome. Well, even more awesome. Lanfeust and Ci'an actually split up before that due to Ci'an falling for the finally grown-up Or-Azur while Lanfeust realized he couldn't provide her with the stable life she aspired to.
Another X-Men example is Generation X, where Bald Black Leader Guy Everett's affections was one of many things spunky Jubilee (Betty) and beautiful, classy Monet (Veronica) butted heads over.
Possibly in Thor's case, Sif could to be his "Betty" and Enchantress (Amora) his "Veronica" or Jane Foster is Betty and Sif is Veronica.
The Golden AgeMAD romance spoof "Flob Was a Slob!" had everyday American girl Ramona Snarfle choosing between her childhood friend, Sheldon Flob, who'd rather be chasing butterflies, and handsome, adventurous Rackstraw Him, who happens to also be a drug pusher and philanderer.
Sin City has Dwight as Archie with badass prostitute Gail as Veronica and sweetheart waitress Shellie as Betty.
Incredible Hulk has Betty choosing between Bruce the Betty and Glenn the Veronica.
The Chaos War would also have Jarella as the Betty and Red She-Hulk aka Betty as the Veronica.
The Deadpool: Merc with a Mouth mini-series had a literal Betty (Swanson, an A.I.M. Hot Scientist who is disgusted by him) and Veronica (Chase, an ESU professor who had the hots for him). Unfortunately, the latter ended up being zombified, so he's stuck with the hot blonde who hates his guts.
British 1940's comic strip Buck Ryan had private investigator Buck's action secretary Zola (blond) as Betty, and his originally arch-nemesis Twilight (brunette, missing an ear) as Veronica.
Zot! Jenny is torn between Zot (Veronica) and Woody (Betty). Unusually, both acknowledge that it's Jenny's choice and they genuinely like each other. Also, Zot's blonde, while Woody's brown-haired.
Spy Boy: Spygirl and Bombshell. Even their fake identities in Alex's high school parody this.
And as of Dark Reign during which Namor joined the X-Men he's become the Veronica to Emma Frost/Archie and Cyclops/Betty.
The early nineties Namor series had a love triangle with Namor as Archie, Carrie Alexander (who helped him set up Oracle Inc. and her and her father cured Namor's blood chemistry imbalance) as the Betty and Phoebe Marrs (Rich Bitch who ran Marrs Corp with her brother, the two of them tried to ruin Oracle Inc. before Pheobe legimately fell for Namor) as Veronica.
Being an Archie Comic, not even Sonic the Hedgehog was safe from this. To wit, Sonic and Princess Sally were always the Archie and the Betty, flip-flopping with the long list of Veronicas that wandered in - Bunnie Rabbot (who hopped off that train the same panel she hopped on), Geoffrey St. John, Mina Mongoose, Fiona Fox and Monkey Khan. Amy Rose was usually the Third-Option Love Interest when Sonic was the Archie.
Fiona Fox briefly had this between Sonic and his Mirror UniverseEvil Twin Scourge. She decided that Scourge was a lot better than Sonic. Unwittingly, she caused this between Sonic and Tails, mostly because Sonic had no idea Tails had any sort of attraction towards her and after it initially came out, Sonic thought it was just water under the bridge.