There are some services where it makes sense. E.g., submitting taxes with the government, logging into the banking website. Apart from that kind of service, yes I don't think I would want my identity or age verified on more or less any website.
I mean, if you live in a country where the state will delegate ID verification to a creepy company instead of having that as an in house capability you have more pressing structural issues to deal with.
Ha! You are concerned about the privacy aspects of IDs but you want me to list what authentication services I use for you? That's too funny to help out with :p