Although many examples that are frequently used to demonstrate Carl Jung's archetypes usually have to do with mythology and classic forms of literature, the fact is that archetypes transcend time. Because they're timeless, they can apply to modern day literature and movies just as they apply to mythology. For example, both Harry Potter and Katniss Everdeen are classic "hero" archetypes, people called into action to go on a heroic journey. If you looked hard enough at other movies and books, you would find other archetypes as well, such as the "trickster" and "shadow."
The model of psychological archetypes put forth by Carl Jung is a timeless one that still shows up in today's films and books. This model refers to the unconscious and the drives and energies that all of us manifest in different ways and that impel us to act on certain trajectories.
Yes, Carl Jung's archetype model is still relevant to modern literature and movies, because his ideas have been followed by others, both in psychology and in movies. The theories of the unconscious and collective psychology are common themes in the plots of movies. Jung developed these theories, and they continue to be used in movies today.
Carl Jung's philosophy is still relevant in discussing today's movies and literature. Although it cannot be proven because it is a set of theories, it is still a legitimate framework for discussing art. Carl Jung remains an important voice in the world of psychology even though his works are a little dated.
In many ways, Carl Jung's archetype model is still very relevant when it comes to modern literature and movies. His model was created years ago and still holds its value in today's modern world. The fact of the matter is that this model was purely accurate from the beginning and that hasn't changed since then.