No one but the EU and member’s governments are more qualified to produce an actual, working age verification system […]

Because they already have the data base neccessary

Just imagine that every time you watch cat videos, the cat video website sends a request to your government’s servers to verify your age.

Of course, this can also be done without accessing any database. E. g. the German electronic identity card supports verifying your age without revealing any other personal information.

AFAIK many cards are hybrid Girocard/(Visa|MasterCard) debit cards. They use the Girocard payment system if supported by the store and (Visa|Mastercard) otherwise.

The title is a bit ambiguous. It is about a driving license, not a software license (such as the already existing European Union Public License) or any other type of license.