The ability to have ownership over an asset independent of an institution is a pretty neat technological feat.
Using it to prove ownership over monkey pictures is straight up idiotic though. But it's somehow the only thing that comes to mind whenever NFT's are brought up.
To a lesser degree the same is true for crypto in general.
Edit: to all the comments saying there still is an institution needed to enforce/accept the ownership, you are right. However the unmodifiable characteristics of a blockchain ledger are still interesting even when we take that into account. Hard to change records there :) Physical property is a rather extreme (though still potential) use case. It is more easily applicable to e.g. intellectual property.