A very simple example is that it could partially solve the problem of verifying digital identities. If I follow/friend your NFT based identity, and various virtual realms (games, social media, virtual spaces) integrate with that 'identity' NFT for user accounts, then any new virtual realm I enter, I can immediately find and connect with people I already know, or identify imposters. There will obviously still be some other hoops I need to jump through to know a digital identity maps to a particular physical person.
I could also see game studios start to issue varying tiers of rare in-game items as NFTs that can then trade on a free market, like collectible cards. Not only would I suspect people will be much more likely to pay more for digital items they can actually take uncensorable possession of (and still sell after they get banned from a game), but different studios could even make deals to make their NFT items cross compatible. (Mario NFT skins and items in Minecraft?)
Maybe I'm starry eyed and delusional, and I'm sure it's a LONG, messy road to get wherever we're going with this.