Many industries can benefit from blockchain; this is often the case for example when your system is very complex because of the need of intermediaries, when your needs to reckoned with multilateral transactions, or when more transparency among the parties would be beneficial (e.g., in a supply chain): this is also the case when the system generates (or could generate) mistakes as a consequence of manual processing that could be automated or from more than one person doing the same step in two different settings, etc. 

More generally, you should think of blockchain where the guarantee of provenance and immutability of records is a value.