For age verification specifically, the only information that services need proof of is that the users age is above a certain threshold. i.e. that the user is 14 years or older. But in order to make this determination, we see services asking for government ID (which many 14-year-olds do not have), or for invasive face scans. These methods provide far more data than necessary.
What the service needs to "prove" in this case is three things:
1. that the user meets the age predicate
2. that the identity used to meet the age predicate is validated by some authority
3. that the identity is not being reused across many accounts
All the technologies exist for this, we just haven't put them together usefully. Zero knowledge proofs, like Groth16 or STARKs allow for statements about data to be validated externally without revealing the data itself. These are difficult for engineers to use, let alone consumers. Big opportunity for someone to build an authority here.