God Couple

"At Thebes in Egypt a woman slept in the temple of Ammon as the consort of the god, and, like the human wife of Bel at Babylon, she was said to have no commerce with a man. In Egyptian texts she is often mentioned as "the divine consort," and usually she was no less a personage than the Queen of Egypt herself."

- The Golden Bough by James Frazer, Chapter 12

This is when two god-like characters (be they actual gods or merely extremely powerful) become a couple.

Might be a Battle Couple. Very likely experiences Eternal Love. For the other type of "couple," see Super Couple. A subtrope of Divine Date, which may only involve one actual god.

Anime

 * Tenchi Muyo: Ryoohki
 * Neon Genesis Evangelion gives us Shinji and Kaworu. (Well, Shinji only becomes a god after Kaworu dies, but Gendo's working ever so hard to make his son into a god this whole time.) Shinji/Rei could also qualify, maybe.

Comic Books

 * Quite a few DC What Ifs pair Superman and Wonder Woman, giving the impression that the authors consider it Better Than Canon. For example:
 * The Dark Knight Strikes Again, possibly the first major example. Interesting because when Wonder Woman and Superman made love it caused earthquakes, hurricanes, twisters, tsunamis, and other fun stuff.
 * At the end of Kingdom Come, not only have Supes and Diana hooked up (Lois Lane's death is a major backstory point), but she's pregnant with a baby reality warper. (Or, at least, a baby. The Reality Warper thing is mostly in the sequel.
 * Act Of God has them get together, though you can argue about whether it fits this trope, since they're depowered at the time.
 * In a Shout-Out to the above examples, PS 238 revolves around the son of expies of Superman and Wonder Woman, with the twist that he has no powers. His parents are deep in denial.
 * In the Cross Gen universe, pretty much every couple between the First, Secundae, Atlanteans, and Sigil-Bearers, with special nods to Altwaal/Raamia, Evinlea/God-Emperor Charon, and anything involving Miranda Cross.

Literature

 * In the Ursula K Le Guin short story "The Birthday of the World", the God of a particular country is a married brother-sister pair. Upon the death of either husband ("God Himself") or wife ("God Herself"), the remaining partner ceases to be God and two of their children marry and become God in their turn.
 * in Incarnations of Immortality. Also, arguably Fate's occasional affairs with Chronos or Mars.

Film

 * Hancock deals with the aftermath, as the titular character recovers his memory and meets his ex.

Live-Action TV

 * Two Qs mated in an episode of Star Trek the Next Generation.
 * And another couple in an episode of Star Trek Voyager.
 * Tales From the Darkside episode "Let the Games Begin". An angel and a devil have a contest over who gets a dead person's soul. At the end they give into their growing attraction to each other and get together.
 * Xena and Hercules.
 * On Dollhouse, this is Alpha's plan at the end of season 1. It doesn't go well.

Mythology

 * From Greek Mythology:
 * Aphrodite and Ares are often portrayed as lovers. Of course, Aphrodite was married to Hephaestus, so it became pretty funny when he would catch them in the act with an unbreakable iron net.
 * Zeus had flings with many a goddess, nymph, and mortal with divine descent. Most of whom were explicitly related to him.
 * Given the fairly small number of gods and the fact they're all descended from Zeus's grandfather Uranus, that's pretty much inevitable.
 * Not entirely true, as there are still deities descended from Gaia's siblings. Of course, they are all male save Zeus' great aunt Nyx; and even Zeus has enough common sense not to try his luck with her.
 * A rare gay example: Apollo and Hyacinthus. While generally referred to as simply a prince of Sparta, Hyacinthus is also believed to have been a minor nature deity of an early pagan religion that was replaced by the Greek religion.
 * Hades and Persephone.
 * Typhon and Echidna, as children of Gaia and Tartarus, are a monstrous take on this.
 * Egyptian Mythology had Isis and Osiris.
 * Norse Mythology: Odin and Frigga, Thor and Sif, Loki and Agriboda (this is God on Giant action technically)
 * Hindu Mythology has many examples, but probably among the most well-known are Shiva and Parvati.
 * Izanagi-no-Okami and his wife, Izanami-no-Okami, the creator deities of Japan according to Shintoism.

Tabletop Games

 * Given the nature of the game, this is practically inevitable in Exalted.
 * Actually, it's a major part of the roles of the Exalted in the First Age. Lunars were meant to be the consorts and companions of Solars, and Solar-Lunar marriages were the norm.
 * One of the more well-known pairings comes from the Forgotten Realms setting, Kelemvor, God of Death; and Mystra, Goddess of Magic, are a couple. An interesting example in that both deities were mortals who met and formed a relationship during the Time of Troubles, which carried over after they ascended. The relationship was public knowledge among the laity, going so far as to have joint ceremonies and rituals between their respective priesthoods. During the Trial of Cyric, though, the relationship was broken off after their competence and impartiality was brought into question: Kelemvor went out of his way to reward heroic souls who died and punish the cowardly and evil, leading to a break in the Balance Between Good and Evil; while Mystra began withholding magic from evil spellcasters, to much the same result.

Webcomics

 * Two characters in Antiheroes are the twin sons of a God Couple, specifically a powerful fiend and an equally powerful celestial. The in-laws were not happy.
 * Digger has (in the Backstory) She-Is/He-Is. It did not work out well.

Video Games

 * Vestoria and Aldius of Fantasia - Realm of Thanos. Too bad Aldius is killed.
 * The Elder Scrolls 3: Morrowind: Vivec/Almalexia. It didn't last long...on the godly scale of time, that is.
 * Sotha Sil/Almalexia coupled for longer, probably because it was more intermittent due to Sotha's reclusive Mad Scientist nature. Almalexia did a lot of coupling, but considered Nerevar to be her lover long after his death. And Nerevar/Almalexia were a political God Couple while they were still mortal.
 * In fanon, Yasaka Kanako and Moriya Suwako, literal goddesses at that. With Kochiya Sanae as their daughter great-great-great-...-granddaughter. Sanae really is Suwako's great-great-great-...-granddaughter, but has no known blood relation to Kanako.
 * The Backstory for the Disciples series includes Gallean and Soloniel. Gallean planted the forests and populated them with elves, while Soloniel literally cried oceans and bore merfolk. Then they had to go and antagonize Wotan, known for his temper, who rips Gallean's heart out and throws it into the sun. Soloniel jumps after it but the sun burns her, turning her into Mortis, the goddess of death. Mortis revives Gallean, at which point he tells her it's over, since she's now fleshless.
 * Muramasa the Demon Blade gives the Tiny Guy, Huge Girl couple of Fuujin and Raijin. Raijin is a visibly muscular woman (seriously, she'd put any and all female bodybuilders to shame) about 3.5 times larger than the player with little in terms of clothing, a large chest, and monstrous thighs (think "tree trunk-sized") that'd make Chun-Li look like a twig. She's still very beautiful, especially when her "dere" side finally comes to the surface. Fuujin, by contrast, is a very mellow, very adorable little imp, usually calming down the thunder goddess in her less rational moments. He also states (in the original Japanese version) that he loves her fat ass.
 * Dissidia Final Fantasy: It's implied that once upon a time, Cosmos and Chaos, despite representing inherently opposite forces of nature, were lovers and peacefully ruled over the world together. Chaos himself does not remember this until he regains his memories near endgame.
 * Freud would have a field day with the family dynamics in Dissidia. Consider:
 * Super Paper Mario has Queen Jaydes, ruler of the lower part of the afterlife, The Underwhere,  They even have a child,
 * Septerra Core. Marduk and Kyra, according to the myths.
 * Asura and Durga, from Asura's Wrath, which is tragically cut short in episode 2.

Western Animation

 * Gargoyles featured literal God Couple Oberon and Titania. It's implied they split at some point, but clearly reconciled by the time Oberon appears near the end of Season 2.
 * All Star Superman featured Bar-El and Lilo who both have the same powers as Supes when they arrived on Earth.