A Crown of Stars: Although Asuka can hardly bring herself to believe it, her future tells her that she and Shinji will end up like this. When they showed up they smiled happily and looked absolutely inseparable.
The Child of Love: After enduring plenty of trials and pains Shinji and Asuka end up getting married and leading happy lives. In the epilogue and side-stories they are depicted as still very in love, supporting each other and drawing strength from each other.
Clark and Lois get married at the beginning of the story. Clark gushes over his blessed married life.
Diana is delighted to be married to Steve Trevor.
We have been blessed, Kara. If I had known I'd be this happy in Steve's arms... well, let us just say that, for the sake of the villains I had to fight all these years, it was a good thing for the world that I didn't find out sooner. I know Kal has been just as pleasured by his marriage to Lois. Even Hal and Oliver show more optimism than strain these days. We are finally doing things for ourselves now, and not just for the world.
HERZ: Shinji and Asuka. Their relationship has gone through bumps and hardships and has needed considerable healing, forgiveness and soul-searching on both parties, but they are happy together.
Higher Learning: Kaoru told that, even though they had troubles and hardships, Asuka and Shinji were very happy together after getting married in his timeline.
The Second Try - After Third Impact Shinji and Asuka were forced to overcome their many issues and traumas and work together. In the process they fell deeply in love, finally got married, and had a daughter.
Dr. Watson and Sally SparrowMeet Cute in "Watson and Sparrow" and go on to marry in the next episode. They remain very in love and very devoted to each other, especially as Sally gives up her life in the 21st century to be with Watson at the close of the 19th. Sally gives birth to a daughter who turns out to be a Time Lord, and the couple eventually have more children. Even Holmes, in the end, is grateful for Sally and the children, attaching himself wholeheartedly to his best friend's family.
Beth Lestrade, on the other hand, has no less than a Trauma Conga Line in her relationship with Sherlock Holmes, but she earns her happy ending and marries him before returning to her own era. When the couple are reunited at last, they still have some issues to iron out, but their long separation has only deepened their appreciation for each other. Beth has commented that they will probably never get off the honeymoon, and both are perfectly fine with that. Now, They Fight Crime! in the 22nd century, particularly dealing with the clone of Professor Moriarty.
In Marks of Time, Meredith and Gilorn. Also, Caleniel and her husband. The worst moment is a brief argument between Meredith and Gilorn in chapter 2, but they quickly apologize and forgive each other.
Fleur De Lis and Fancy Pants in Of Lilies and Chestnuts. When Fancy learns that Fleur is infertile, his first act is to comfort her in her despair for a few hours and suggest adopting a foal so Fleur can salvage a glimpse of her dream. Fleur adores her husband in return.
From the Gensokyo 20XX Series, we have Ran and Ren, after being engaged for at least four or five years, sticking by one another through thick and thin, never at all arguing or doing anything to hurt one another. Sadly, after enjoying a rather happy marriage, Ren passes away and Ran is a left a grieving widow.
Meg's Family Series has Meg and Zack. Despite all the problems (Including Abusive Parents) that they've gone through they still love and care about each other. It helps that Zack is extremely protective of his wife.
Spike and Rarity eventually became this, after much Character Development on Spike's behalf, and mutual exploration of why the two would be attracted to one another in the first place.
In the Arrow series Legacy, Oliver and Felicity have been married for over twenty years. Their kids still catch them having tickle fights in the kitchen sometimes.
The One Piece fan fiction series Rerum Danarae has Borsalino note Admiral Kizaru and his civilian wife Suikô (水光, water light), who, despite being married over twenty years, still play rather elaborate light-BDSM games; it is implied that Suikô controls her husband's antics by banning him from the house. There is also Fleet Admiral Kuzannote Admiral Aokiji, who, contrarily to his former lifestyle as a vagrant of the seas (who from tradition never say no to being propositioned by their preference), hasn't had eyes for any other woman but the one he later married Kumori C. Theodora since meeting her 28/31 years ago; the pair has to date four children, and is, after 25 years of marriage, still raunchy to the point that their youngest daughter Evermist lampshades this in protest.
All of the couples who get married during the course of the Elemental Chess Trilogy qualify for this, although Fullmetal sometimes gives the impression of being a very slightly Henpecked Husband. In particular, Roy and Riza's marriage goes through a number of ups and downs caused by the Big Bad and Bigger Bad, but the one thing that never changes is how devoted they are to one another. Havoc even thinks, in one of his point-of-view chapters, about how they're finally happy.
This is in-universe-arguably the case for the Official Couple of The Bug Princess. It's not a question of whether they're happy (they are); it's a question of whether they're actually married.The union was cemented via Magically Binding Contract, but it's technically only valid in the Neitherworld. Steps are taken to also make it legal among the living.
Young Justice Titans has this starting to develop with the senior members of the old team who decided to marry young. Namely, Superboy and Mrs. Martian as well as Artemis and Wally West. Mrs. M and Conner have most of of their old issues worked out, and are now happily raising not only a kid but mentoring now as well. Artemis and Wally meanwhile are in semi-superhero retirement, focusing on raising their daughter, and while still annoyed by each other, genuinely love and care about each other without reservation.
This in fact is discussed in part during one part, where Rapunzel, hearing about the durability of a troll's marriage through all the bumps, muses that this is only further proof for her that she and Eugene are in genuine love.
In The Sanctuary Telepath (in the universe all of them stays alive, at least) Janine and James eventually become this - supported by a century worth of common history. They're very much in love, trusting, in sync, and with Janine's brother they form the London Three.
The King and Queen of Ferelden are explicitly described this way a couple of times in All This Sh*t is Twice as Weird. Leliana, who has known them almost as long as they've known each other, is shown thinking about how glad she is that they're still happy after several years and only regrets that they can't be together (since the Queen is away on a secret mission).
Contrasting with the awful lives they live in canon, A Spark of Ice and Fire has the marriages between Sandor Clegane and Tysha, Stannis Baratheon and Lynesse Hightower, and Tyrion Lannister and Agatha Heterodyne. Tysha's warmth quietly mellows out the Hound; Lynesse, despite being very much a Gold Digger, has an excellent head for business and respects and genuinely appreciates Stannis; and Tyrion's political skills blend perfectly with Agatha's genius.
The Pieces Lie Where They Fell: After hints were given in the first story, the sequel Picking Up the Pieces reveals that Sweet Surprise is and has been happily married to a firepony stallion named Hot Rod and a psychiatrist mare named Sound Mind (who actually made a short appearance in the first story) for going on five years, much to the surprise of her fellow Captains when they find out. The pair demonstrate this when they separately come into her office later on because they're worried about her.
Son of the Sannin: After living for a few years under the same roof while raising Naruto together, Jiraiya and Tsunade eventually develop feelings for one another and get married. While they still bicker from time to time and have some issues, they end up a very happy couple overall.
In the Motion Practice series, which recasts Marvel superheroes in a mundane setting, Steve and Bucky stand out as happily married, with a beloved adopted daughter and no visible relationship dramas. Most of the other marriages in the series are also happy, but prone to rocky patches for Rule of Drama.
The Skyhold Academy Yearbook series has several of these among the cast. President and First Lady Theirin deserve special mention, as the happiness of their union contributes greatly to why Ferelden has appointed Alistair a Permanent Elected Official. It's also a big factor in the success of the eponymous school as well as the fact that the school exists at all. The other married couples in the series are indicated to be this, as none of the relationships experience any known dissension once they become official.
In Danny Phantom fanfic ResurrectedMemories: Jack and Maddie Fenton, just like in cannon. Also it's implied that the sub teacher A.J. Murray has this with her own husband.