This is an interesting question. There are many themes in the Iliad. Let me name a few and show how they might relate to something current.
The Iliad has several main themes. Perhaps the dominant theme is the pursuit of glory (in Greek - kleos). For example, Achilles had the choice of a long life or an early death but one filled with glory. He choose the second option and went to Troy. Glory, that is, to be recognized by your peers, is central. Another theme of the Iliad is courage. Hector's wife, Andromache does not want him to fight Achilles, but she cannot deter him. Hector must fight Achilles. The code of honor and courage must lead to a showdown between the two men.
If we look at our world, the first theme is played out everywhere. Think of what is happening among bankers on Wall Street. They take great risks for glory (not necessarily money). These bankers have more money than they can possibly spend. Why do they work so hard? They want recognition from their peers. They are hungry for glory. Jamie Diamond of Chase is a perfect example. We can see the same dynamic in sports. Athletes drives themselves to win glory. This pursuit is intense and very much a part of our world.