Of course, when we talk about breaches, we're usually talking about someone "stealing" data. It's not actually "stolen" because you still have it. It's more accurate to say that in a breach the data is exfiltrated. This is also called an attack on the confidentiality of the data.
In security, we talk about the C-I-A triangle, Confidentiality, Integrity and Availability. Confidentiality is about the secrecy of data. Integrity is about the accuracy of data. Availability is about being able to properly access data when it's needed. A well-rounded security program needs to consider all these aspects.
What is somewhat different this year is the crypto-/ransom-ware attacks. In these cases, the attack is a virus that typically gets in as an email attachment. Someone opens the attachment and the virus executes. It finds files in network shared directories and encrypts them. Now, encryption is often a good thing, but that's when you (or your organization) has the decryption key. In a crypto-ware attack, only the attacker has the key. That's a problem. It becomes ransom-ware when the attacker offers to provide the key for a "small" consulting fee, usually paid via the anonymous crypto-currency, bitcoin.
These are basically attacks to the availability of data. We've seen instances of hospitals or other organizations temporarily shutting down as a result. These could also be considered attacks to the integrity of the data - though I think we have not yet seen the real integrity attacks... and they are coming.
