Actually this is only partially true (have implemented verifiable credientials and ZK on top).
VCs will allow you to verifiably specify your date of birth or maybe your passport number.
What ZK does is allows a third party to ask questions like "is the date of birth of this person prior to 2-Sep-2006" (ie, are they over 18) or "is this person a passport holder for country X" and the ZKP system can say yes or no without disclosing the actual birthdate or the passport number.
It's is a real improvement in privacy, although I'm unconvinced it is worth the incredible inconvenience of implementing it.
