I wholeheartedly agree. There is a wealth of examples to draw from, superpowers being the least of the concern here. With the variety of powers (strength, flight, energy beams, morphing, etc.), you have the emulation of the various gods who controlled the forces of nature. Even with heroes such as Batman and Iron Man, who apply their natural genius and strictly human physical traits to the application of advanced technology, you have the Greek heroes who rise above any limitations of mortal form.
Powers aside, comic heroes also emulate the philosophical issues of ancient Greece and the timeless personal struggles of the human soul throughout history. Bruce Wayne and Peter Parker had to deal with guilt and the sense of loss in their family. Tony Stark battled alcoholism. There have been story arcs that address infidelity, honor, loyalty, betrayal. Fighting for the sake of the world, or struggling against one's own personal demons. Should heroes be allowed to use their abilities unchecked? Even before the epic trials of the Marvel Civil War, heroes have had to deal with public opinion.
As the ancient Greek myths provided reason for where the sun goes at night and why earthquakes happen, they also told of how heroes dealt with very relevant issues. What defines a hero? What is the truly moral choice? How would someone react when confronted with a relatable problem? Would a true hero kill the person who violated someone he/she loved, or is it more heroic to forgive them? Who truly decides what actions are heroic or villainous? Comic books represent this, especially as they have evolved to mirror the issues which served as the backdrop. The civil rights movement has parallels in the X-Men and their journey for acceptance. In post Cold-War era, the traditional villain became much harder to identify.
Comics have a way of speaking to people and conveying morals in a multitude of ways.