Blockchain can be used as a rather expensive and crude database, so one possible application is a key-value database which is guaranteed to always be up.
I suspect that as blockchain technologies improve and better techniques for sharding are developed, this could become quite a common real-world application.
From reading the comments most people here don't have any idea about the research that's currently happening in the blockchain space. They're just making ignorant comments about ponzi schemes and money laundering.
Very exciting research happening in blockchain.