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Athena Diagnostics
There are a lot of movies with references, but I can't think of any teams. Products often use Greek myth names. The one I can think of is Nike. That is why there are wings on the shoes. Some car names have also been from myth.
They are absolutely everywhere. Read a fantasy book, it will no doubt have tons of Greek mythology references, the series of Percy Jackson and the Lightning Thief contains numerous references to Greek Mythology.
It depends upon the symbol, but usually they are references to a myth in which Hades plays a part.
percy jackson is a big one Harry Potter and the Order of the Phoenix
Some modern references to Ares can be seen in the Marvel Comics character Ares, the God of War, and the video game series God of War, where Ares is depicted as a main antagonist. Additionally, some political or military leaders are sometimes compared to Ares for their aggressive or warlike demeanor.
Myth
Hades is often referred to as Hell by modern mistake.
For example: References to Arsenio Hall and Jack Nicholson in Aladdin?
There are now many modern interpretations, and some myths of that likeness: Japan has one in Izanagi and Izanami...
Myth
a modern myth with restrained poignancy