I think you should figure out a few things.
1. Is your boyfriend good at everything except playing games that you can't stand?
2. In addition to playing games, what is his major, and how is he going to develop in the future have a plan?
3. What do his buddies and friends usually do with him?
Maybe he is still a big boy, his favorite thing is still playing, if you can still wait for him to grow up, then you should be patient.
If you really can't stand it, why don't you use a little bit of stimulation his way, ignore him ah, senior you should also have a lot of things to do, do your own thing, or you can put forward the breakup, see what his reaction.