I agree with others here when they say that age-verification laws aren't about children at all, and identification isn't a side effect, it's the raison d'être.
But if I were to earnestly try to solve the problem, I might look to the physical (non-online) world. In every part of the world I've been to, buying alcohol requires one thing; to be of age. So if you very clearly look of age, you are allowed to buy it. If you look younger, you may be asked to provide ID proving you are old enough. While some vendors may take additional precautions such as scanning your ID, it is not a requirement and most do not. They simply look at your ID to verify, then allow the purchase.
One could buy a physical verification token, like one might buy a gift card currently, and the purchase requires the same verification as buying alcohol. Imagine you buy a plastic gift-card-like item branded Roblox and they verify you are of age, when you sign up for Roblox you enter in the details of the gift-card-like item. You are verified to be of age, and no-one has any other details.
