If it's not always like this, then how was it before? Is it possible that he has something else on his mind and video games are a method to make his problems go away (similar to how alcohol makes life's problems go away)? At the beginning of your relationship was your boyfriend interesting, happy, and charming? He might be depressed. Could it be because he is tired from his job - physically or metaphorically?
But ironically if you ask him "what is wrong?" he will probably respond with, "nothing." And that may not be true. So you have to play detective to find out what is going on with him. Anyway do the two of you live together? And if so does he at least cuddle with you at night? If he cuddles then that is a sign he is not totally ignoring you. Right before you go to bed might be the best time to talk to him, because it is after he shut down his computer and you somewhat have him trapped.
Ask him what he wants to change about his life. Tell him you know that his life is not just peachy. But video games can be really fun within moderation. Don't expect him to eliminate them entirely.