I guess the real problem to be he doesnt pay you any attention right?? You need to talk to him and let him know that you need more of his time--don't try to do this without his undivided attention
You can't move on its not your job to play his parent.
I hate to say it.., but if he is going to become mature..he has to do it on his on. Let him know how you feel about him playing all day and night. Try and ask him to do things with you to get him away from the game. Have you tried playing the game with him? Maybe if you play with him for awhile that he might get off early and you two can find something else. Good luck on this one.
Don't date a gamer and think you can take away his games. If he was a sports fanatic you would complain about him watching too many events. If he was a party guy you'd complain about his drinking and late nights. If you find something about your boyfriend you don't like that is related to what he enjoys doing as a pass time... You can take interest in the same things, deal with it, or move on. He is who he is, and you are who you are. Women can be obsessed with shopping and hitting the mall with friends, sometimes so much so that boyfriends can become neglected as they are always away, they don't seek
See if his parents know about it first.