This is literally the purpose of most of the European EUDI wallets, but automated. You create an account with whatever part of government handles ID, you get a

This is literally the purpose of most of the European EUDI wallets, but automated. You create an account with whatever part of government handles ID, you get a "wallet", and then services can ask you to share minimised data from the wallet. This can be implemented in such a way that the government doesn't know who requested and the requester doesn't learn anything about you other than the minimum covering set of attributes required.