Draconic Divinity

You'd be hard-pressed to find a fictional creature more awe-inspiring than the dragon. These immense reptilian beasts have fascinated mankind since the dawn of time, and have been subjected to all kinds of interpretations through various cultural lenses. Some have viewed them as unholy beasts to be hated and feared, but others have revered these creatures to the point of worship. Whether they're merely powerful animals that serve as Physical Gods, divine beings that serve a higher power, or are actual gods in the form of a dragon, Draconic Divinity is a status that they all enjoy.

The concept of Draconic Divinity seems to originate from ancient Chinese cultures, where dragons were worshipped as benevolent embodiments of nature and harmony; these beliefs would spread to other East Asian cultures and become one of the main prevailing examples of this trope. These particular godlike dragons are often characterized as wholly wise and benevolent, or stern and temperamental yet possessing a strong sense of justice. But don't be mistaken: this is not the Good Counterpart to the Draconic Demon, and examples can easily be wrathful and wicked, as well as the centerpiece of a Religion of Evil.

But no matter if they're good or evil, there's no denying that these creatures are a spectacle to behold, and are worthy of both fear and respect in equal measure. Expect there to be some overlap with Eldritch Abomination for truly alien and otherworldly examples, as well as Elemental Embodiment for good measure.

Anime and Manga

 * Dragon Ball gives us one of anime's most famous examples in Shenron, the Eternal Dragon summoned by gathering all seven Dragon Balls. While Dragon Ball Z would reveal that he and his creator Kami are merely powerful aliens, he's still a powerful wish-granting entity who commands the full respect of those who summon him, and he makes it clear that he's not to be trifled with.
 * Other sets of Dragon Balls have their own analogue to Shenron: the Namekian Dragon Balls, for example, summon an even more powerful dragon called Porunga, who could originally grant more wishes in one go than Shenron while boasting a far friendlier temperament than his testy cousin. The Super Dragon Balls however can summon Super Shenron, a mind-bogglingly powerful golden god of a dragon who can grant reality-warping wishes, and is so big he can swallow entire planets in one bite and dwarfs entire galaxies in size.
 * The Five Dragon Gods from Fairy Tail aren't true gods, but they're so stupidly powerful that they're worshipped anyway. It comes with the territory when you're able to casually level entire continents with your raw might alone.
 * Miss Kobayashi's Dragon Maid is a slice-of-life anime featuring the Aztec god Quetzelcoatl, portrayed as a buxom, flirty, fun-loving Cute Monster Girl whose inappropriate behavior saw her stripped of her divine status.
 * The most famous examples of this trope from Yu-Gi-Oh! are Slifer the Sky Dragon and the Winged Dragon of Ra, two of the three Egyptian God Cards. And their name isn't some lofty title, because they are ancient Egyptian Physical Gods in the form of Duel Monsters playing cards, and you won't to be able to use one without being specifically chosen to do so. Attempting to do so anyway is a good way to invoke their wrath, ditto for using a bootleg card.

Film

 * Whether he's a (mostly) benevolent force for good or a monstrous, terrifying menace, Godzilla is revered and feared for his raw destructive might. The Monsterverse incarnation in particular really plays this up, with him having been worshipped as a god in ancient times.
 * Haku from Spirited Away is the most powerful spirit under Yubaba's employ, and can turn into a beautiful, graceful Eastern dragon..

Literature

 * Paladine and Tiamat in the Dragonlance world are the supreme good and evil gods of the setting and most commonly take the form of a platinum dragon and a five-headed chromatic dragon respectively.

Video Games

 * Divinity goes hand in hand with dragons in the Elder Scrolls universe. The Top God of the Imperial pantheon, Akatosh, is the father of dragonkind and often takes the form of a dragon himself when he interacts with the mortal plane of Mundus. All legitimate Cyrodiilic emperors are also "Dragonborn" due to descending from a holy covenant formed by Akatosh infusing the saint Alessia with his divine blood, which would ensure that the gods would protect Mundus from the Daedra as long as a Dragonborn emperor sits on the throne.
 * As far as other divine dragons go, there are the Jills, female servants of Akatosh that repair the fabric of time after a Dragon Break. There's also Alduin, the firstborn of Akatosh and a malicious black dragon whose purpose is to destroy the world so a new one can be created in the wake of its destruction. Even generic rank-and-file dragons are lesser Aedra that have more in common with angels and demigods than they do with more animalistic portrayals of dragons, and were worshipped en masse by dragon cults in the distant past.
 * Among the Daedra is Peryite, the Daedric Prince of pestilence, tasks, and the natural order. Like all Daedric Princes he's an unfathomably powerful and unholy being worshipped as a god by less than savory types. He takes the form of a spindly, lanky dragon as a mockery of Akatosh's divinity, and is among the more benevolent, or at the very least less malevolent Princes. Doesn't stop him from occasionally unleashing horrific plagues on Mundus, though.