The Japanese film company Kodak uses a green box to sell their films. Kodak is mainly known in the United States as a brand of cameras, so it is safe to say that these green boxes don’t come to the United States all that often. However, finding titles of these movies is incredibly difficult outside of Japan. In fact, this information could be completely wrong, so take it with a grain of salt.
However, another possibility is the films of Nagase, a famous Japanese actor. He’s starred in many films, stretching back to the early 1990s and further. He’s also been in more recent films, such as “The Hidden Blade” and “Suicide Club” - not to be confused with “Suicide Squad”, the D.C. Comics movie starring Will Smith and Margot Robbie.