There is no single answer to that, because when we talk about security, there are three main categories that we need to keep in mind.
One is confidentiality. The breaches can be against confidentiality.
The second is data integrity. It means, for example, that in the population registry where we have citizens' names, there is nothing secret about the names, but we have to keep the integrity of this data. We have to protect it so that nobody can access the population registry and change my name, for example.
The third aspect is availability of information. It means that we have to protect the network and data communication so everybody can access the data when it's needed. It's always these three aspects when we talk about cybersecurity.
When it concerns, for example, Facebook, then there is nothing to do with availability, I believe. Your question was targeted to personal data protection, and in this case, only regulations are of use because they put the responsibility to the company that provides the service. That's exactly why the European Union implemented the new General Data Protection Regulation that gives the power over the data to the owners of the data, the citizens, and imposes better control over the companies that provide digital services.