The Pegasus has been frequently used on airmail stamps, such as this early example from Italy, 1930.
Elements of Greek mythology have appeared many times in culture and popular culture. The Greek myths had originally been adopted into the culture of ancient Rome, and have been frequently incorporated by Western cultural movements since then, particularly since the Renaissance. Mythological elements have been used in Renaissance art and English poems, as well as film and literature, and songs and commercials. Along with the Bible and the works of Shakespeare, the myths of Greece and Rome have been the major "touchstone" in Western culture for the past 500 years.
These elements include the gods of varying stature, humans, demigods, titans, giants, monsters, nymphs, and famed locations. Their use can range from a brief allusion to the use of the actual Greek character as a character in a work. Some types of creatures—such as centaurs and nymphs—are used as a generic type rather than individuated characters out of myth.
The retelling of the myths "always [sit] in relation to older stories through audience memory" which creates a "jostling [of] knowledge" because there will "always be numerous older versions and related stories, even if not all of them exist today."
A coin, featuring the profile of Hera on one face, and Zeus on the other side, c. 210 AC
Roman conquerors allowed the incorporation of existing Greek mythological figures such as Zeus into their coinage in places like Phrygia, in order to "augment the fame" of the locality, while "creating a stronger civil identity" without "advertising" the imposition of Roman culture. In modern times, the initial Greek 2 Euro coin featured the myth of Zeus and Europa, and sought to connect the new Europe through Western history to the ancient culture of Greece. As of December 2012, the European Central Bank as plans to incorporate Greek mythological figures into the designs used on its bank notes.
The medical profession is symbolized by the snake--entwined staff the god of medicine, Asclepius. Today's medical professionals hold a similarly honored position as did the healer-priests of Asclepius.
The American colonial revolutionary, Thomas Greenleaf, subtitled his newspaper "The Argus" after the mythological watchman and took the slogan "We Guard the Rights of Man."
The Pegasus appears frequently on stamps, particularly for air mail. In 1906, Greece issued a series of stamps featuring the stories from Hercules' life. Australia commemorated the laying of an underwater cable linking it to the island of Tasmania through a stamp featuring an image of Amphitrite.
The United States military has used Greek mythology to name its equipment such as the Nike missile project and the Navy having over a dozen ships named from Greek mythology. There have been a number of ships in the British navy as well as the Australian Royal Navy which has also named a training facility in Victoria called HMAS Cerebus. The Canadair CP-107 Argus of the Royal Canadian Air Force is named in honor of both the hundred eyed Argus Panoptes the "all seeing" and Odysseus' dog Argus who was the only one who identified Odysseus upon his return home.
The elements tantalum and niobium are always found together in nature, and have been named after the King Tantalus and his daughter Niobe. The element promethium also draws its name from Greek mythology, as does titanium, which was named after the titans who in mythology were locked away far underground, which reflected the difficulty of extracting titanium from ore.
The U.S. Apollo Space Program to take astronauts to the moon, was named after Apollo, based the god's ability as an archer to hit his target and being the god of light and knowledge.
The Trojan Horse, a seemingly benign gift that allowed entrance by a malicious force, gave its name to the computer hacking methodology called Trojans.
In film and television
A director providing instructions to actors during a film production of the story of Orpheus
The use of Greek mythology in children's television shows is credited with helping to bring "the great symbols of world literature and art" to a mass audience of children who would otherwise have limited exposure. Children's programming has included items such as a recurring segment on CKLW-TV where Don Kolke would be dressed up as Hercules and discuss fitness and Greek mythology.
The Battlestar Galactica franchise (particularly the 2004 television series) developed from concepts that utilized Greek mythology and the series Heroes, played on the concept of the new generation of gods overthrowing the old. The television series Lost used Greek mythology primarily in its online Lost Experience. During its six season run, the television series Xena: Warrior Princess is set in a fantasy world "dominated by Greek gods and mythological creatures", but it also "plays with Greek legends" re-writing the historical stories. In the series, the god Ares (played by Kevin Tod Smith) makes several appearances attempting to lure Xena back to a life of spreading chaos and destruction.[relevant?– discuss]
A 15th century depiction of Amazons in battle armor
Amazons, prior to their appearance in American Hollywood films where they have been presented in "swimsuit-style costume without armor" and "Western lingerie combined with various styles of 'tough', male" clothing, had been traditionally depicted in classical Greek warrior armor.
The 1997 Disney production of Hercules was inspired by Greek myths, but it "greatly modernizes the narrative, ... going to great lengths to spice up its mythic materials with wacky comedy and cheerfully anachronistic dialogue," which, Keith Booker says, is playing a part in the "slow erosion of historical sense." 
In video games
The 1996 video game Wrath of the Gods was an adventure game set in mythical Greece, and had an educational component where players could learn about Greek myths and history and see images of Greek art in cut-a-ways.
In 2003, Gamespy remarked that the 1986 video game Kid Icarus, which had become very popular and then faded to relative obscurity, had followed a trajectory similar to its namesake from Greek mythology, Icarus, who had escaped imprisonment when his father created wings from feathers and wax, but ignoring his father's advice, Icarus flew too close to the sun so that the wax melted and Icarus fell to his death in the sea.
In psychoanalytic theory, the term Oedipus complex, coined by Sigmund Freud, denotes the emotions and ideas that the mind keeps in the unconscious, via dynamic repression, that concentrate upon a child's desire to sexually possess his/her mother, and kill his/her father. In his later writings Freud postulated an equivalent Oedipus situation for infant girls, the sexual fixation being on the father. Though not advocated by Freud himself, the term 'Electra complex' is sometimes used in this context. A "Medea complex" is sometimes used to describe parents who murder or otherwise harm their children.
Some stories in the Arabian Nights, such as the story of Sinbad blinding a giant, are thought to have been inspired by Greek myths.
Percy Shelley had been working on a translation of Aeschylus' Prometheus Bound for Lord Byron in 1816. That summer, Shelley and his lover, Mary Shelley (at the time, 18 year old Mary Godwin), and others stayed with Lord Byron in Switzerland. As a contest, Byron suggested that they each write a ghost story. Mary Shelley began writing her Gothic novel Frankenstein; or, The Modern Prometheus, which was declared the winner of the contest. The fact that she overtly subtitled the novel shows that she wished to show that she was inspired by the story of Prometheus and wanted to draw attention to the "metaphorical parallels".
In Irish literature, writers such as Seamus Heaney have used the Greek myths to "intertextualize" the actions of the British Government.
The Italian poet Dante Alighieri used characters from the legend of Troy in his Divine Comedy, placing the Greek heroes in hell to show his contempt for their actions. Poets of the Renaissance began to widely write about Greek mythology, and "elicited as much praise for borrowing or reworking" such material as they did for truly original work. The poet John Milton used figures from classical mythology to "further Christianity: to teach a Christian moral or illustrate a Christian virtue."Euphrosyne, Hymen and Hebe appear in his L'Allegro.Alexander Pope's works, such as The Rape of the Lock parodied the classical works, even as the income from his translations of Homer allowed him to become "the first English writer to earn a living solely through his literature.
When poets of the German Romantic tradition, such as Friedrich Schiller, wrote about the Greek gods, their works were frequently "erotically charged", "openly sensual and hedonistic".
In his poem, The Wasteland, T. S. Eliot incorporates a range of elements and inspirations from Greek mythology to pop music to Elizabethan history to create a "tour-de-force exposition of Western culture, from the elite to the folk to the utterly primitive". The Indian poet Henry Louis Vivian Derozio's work was heavily influenced by Greek mythology.
Nina Kosman published a book of poems inspired by Greek myths created by poets of the twentieth century from around the world which she intended to show not only the "durability" of the stories but how they are interpreted by "modern sensibility".
Hugo von Hofmannsthal, in 1903, adopted Sophocles' version of the story of Electra for the stage. Hofmannsthal adapted his work to become the libretto for Richard Strauss' opera Elekra in 1909. The opera, although controversial for both its "modern" music and its depiction of Elektra through "psycho-sexual symbolism", inspired many more adaptations of Electra by other writers and composers during the twentieth century.
Sartre and Jean Anouilh used Greek myths as inspiration for their plays during the Nazi occupation of France, as the "distancing effect" of the ancient settings allowed their critique to by-pass censors. Later, Heiner Müller also used the coding of Greek mythology to disguise his commentaries calling for reform within the German Democratic Republic.
The 2012 play The Architects, by the London based Shunts, is based on the myth of the minotaur and is about a "return to when Greece was the cradle of civilisation and not about riots on the streets".
In children's literature
The Midas myth, from Nathaniel Hawthorne's A Wonder-Book for Girls and Boys. Illustration by Walter Crane, published 1893.
In the 19th century, Nathaniel Hawthorne wrote children's versions of the Greek myths, which he intended to "entirely revolutionize the whole system of juvenile literature." His work, along with the works of Bulfinch and Kingsley, have been credited with "recast[ing] Greek mythology into a genteel Victorian subject." The Percy Jackson and the Olympians series by Rick Riordan stars Percy Jackson the son of Poseidon. Riordan states that he created the character of Percy when trying to tell a story to help his son who has ADHD get interested in reading. In the stories, Percy's ADHD characteristics are explained as being caused by his Olympian blood, thus Riordan was "us[ing] Greek mythology as it has always been used: to explain something that is difficult to understand."
The rainbow effect frequently seen at Niagara Falls had inspired the use of "Iris", the goddess of the rainbow, for local geographical features
At Niagara Falls, the Bridal Veil Falls had previously been called Iris Falls, and Goat Island had previously been called Iris Island as namesakes of the Greek goddess of the rainbow, Iris, because of the rainbow effects that appear in the mists at the falls. A local newspaper which was published from 1846-1854 was also called The Iris, and the publication The Daily Iris became the Bingham Daily Republican.
The Greek myths have been the inspiration for a number of operas. Claudio Monteverdi and Giacomo Badoaro used a Greek text about the homecoming of Odysseus as the basis for Il ritorno d'Ulisse in patria over which they attempted to overlay Christian beliefs and create in Zeus an omnipotent and merciful being. Cherubini's Médée takes the story which had been portrayed in many version on the French stage as a melodrama, and instead portrays Medea as a tragic heroine who deserves the audiences' sympathy.
The original interior of the Glyptothek, the first public sculpture museum was adorned with frescoes of Greek mythology by Peter Cornelius and his students which provided a "lively dialogue" between the building and its contents. When the building was repaired after war-time damage, the frescoes were not restored.
During the Middle Ages, writers disdained the use of "pagan" influences such as Greek mythology which were seen to be a "slight to Christianity." From a current cultural perspective, the Greek Orthodox metropolitan Agustinos Kantiotis has denounced the use of Greek mythology such as the use of Hermes on a postage stamp and the incorporation of images from Greek mythology into universities' logos and buildings.
Within the cultures of Latin America, beginning in the 19th Century, the inspiration for culture has been dominated by elements from the native American cultural myths, rather than those of the Greco-Roman inspiration.
Greek women poets of the modern era; such as Maria Polydouri, Pavlina Pamboudi, Myrtiotissa, Melissanthi and Rita Boumi-Pappa; rarely use mythological references, which Christopher Robinson attributes to the "problem of gender roles, both inside and outside the myths."
Martin Winter says that the idea that many commentaries about the widespread use of Greek myths throughout Western culture does not take into account the vast difference between what a modern viewer takes from the story and what it would have meant to an ancient Greek.
The god Poseidon was credited with the creation of horses, and the champion Thoroughbred horse, Poseidon, had 11 wins as a 3-year-old racer.