Comrade Adam is keeping an eye on the lists and is posting highlights whenever new names are approved: https://kammeratadam.dk/keyword/godkendtefornavne
A name that really begs to be screamed out loud
What? The state gets to choose which name can you freely give your child?
People here find it very strange (insane even) that in US you can name your child Apple, North West or X Æ A-Xii.
(I don't have a strong personal opinion on this.)
But apart from that, there’s no list, you can invent names.
“If the first name you want for your child is not on the list of approved names, you can apply to have it approved. You do this when you complete the application, where you are asked to explain why you want a non-approved first name.”
I think that’s a bit clearer than getting a veto, as vetos without a whitelist can get applied inconsistently.
Denmark did use to have "These and only these names" and they were written into the law (yes, there are pages and pages of Danish legislation that are just names), but now any non-offensive name is okay, and for administrative purposes, an "approved"-list is kept for easy reference to things that have already been, well, approved.
In here, for example, the name needs approval to not be harmful to the kid, nor degrading, nor diminutive form of name can be used. Also typos are checked for.