I'm not going to let my boyfriend play video games
What is the reason why you want to keep him from playing video games?
He should spend more time at home with me.
While I think it's perfectly fine to enjoy some video games every now and then, I do think you're within your rights to expect him to pay some attention to you when you're home together.  He shouldn;t just be playing video games all day.
I can't talk to him like that. He's my boyfriend. Besides, he makes a lot of money.
It makes sense that you may feel bad about bringing this up, however it will without a doubt help your relationship. Just do your best to come to him in a very respectful way and let him know how you are feeling. It can be tough to feel like your partner is not paying attention to you.