Still, it's hard to tell what you mean. Games that players engage with to be perceived a certain way? Games so expensive only people of a certain status can afford them? Games about attaining social status? The various ways people pursue social status IRL?
What do you think of when you say a 'social status game'?
I'll go ahead and knock out the 'normie that watched anime on TV twenty years ago' list.
I've got a handful of others I've seen and liked, plus some older and newer ones I plan to watch. But I need to really branch it out a little.