Most Helpful Guy
Maybe you can buy another console for yourself and play some multiplayer with him0THIS IS NOT RELEVANT ANYMORE
Most Helpful Girl
First of all, make sure you ask him to, don't just expect it. Say that you would like him to come off every so often and maybe even choose a day where you will agree to do something on the outside world. Suggest fun things he will actually want to do, like going getting his favorite take out and sitting watching a film he likes together. Baking is also a really fun thing to do together and you get to enjoy the treats afterwards. My ex loved doing this and would usually be the one randomly asking if we could go to the shop for ingredients. Which reminds me of another, grocery shopping. It can actually be fun if you do it together. It might not be "romantic" time spent together but you can talk and it's still quality time. There are lots of things and all you have to do is suggest them. Don't expect him to come up with things and randomly surprise you with plans because he probably won't.
I was with a gamer guy for 3 years (it didn't work out but not because of that), and I'm with a gamer guy now too. It's easy to get lost in that world and time just goes a lot quicker than you think. Weeks can sometimes fly by and your mind is occupied by the game so you don't even realize. I'm a gamer girl and sometimes he would be the one bugging me to come off and do things together. It's nice that you're trying to find two player games to join in with him, but usually they're addicted to one or two games and just can't be bothered with any others. Like, if I'm enjoying a game I want to play it all the time and can't enjoy a different game as much. Maybe take interest in what he is playing at the time instead.0THIS IS NOT RELEVANT ANYMORE