I agree with Custardo and NRPDad, it’s not the gaming which is an issue, it’s whether the hobby (whatever it may be) is taking excessive time, attention or money from you as a couple/family. You think it is, but he sees it as the same as your hobby.
FWIW my DP loves games and has been known to get addicted to them, he spends silly (to me) money on some of them but he has plenty of spare cash so he can afford it. However, he would never let it take money away from his kids or from doing things with me.
He will play games that the kids want to join in with and happily hand over the controllers to let others have turns as he enjoys watching them enjoy it too, so it’s a very sociable thing for him.
He also said early on in our relationship that he would put down his phone when I came in the room as he didn’t want to be “that guy” and that if I found him to be getting overly absorbed in a game, to tell him and he’d rein it in. Which he has to his credit.
He deleted a game which was making him set alarms at 3am to participate in matches!! (But not before doing so several times.) Some games really get under your skin and it IS an addiction - whether it expects you to play regularly and rewards you for that, or it’s a team game and you don’t want to let down other players, they are designed to hook you in.
Maybe sit him down for an honest chat about his gaming - try to talk calmly about the times you see him ‘unable’ to put it down and concentrate on other things, and maybe agree to some time limits for either solo pursuits or shared time, to make sure you both get your needs met.
DP and I will often say after dinner, let’s have 20 mins on screens then we’ll snuggle up and watch a movie together. Even watching TV we’re interacting, our focus is on the same thing, we chat about it, cuddle while watching etc so it’s something we enjoy together.
We don’t do screens or reading in bed - bed is for two things, sex and sleep, so phones are put down (I’d like them left elsewhere but they’re useful as alarms) and I have no TV in my room (he does, and has PlayStation in his bedroom at home, but I don’t stay there so I don’t care!)
We set the expectation early on that when we’re together it’s important to respond to each other’s bids for attention (read the Gottman Institute on ‘bids’ and maybe share that with him.). It’s a really simple way to explain how important those little moments are, when you feel that he’s not paying you attention (and vice Versa).