https://ico.org.uk/for-organisations/guide-to-data-protectio...

As for the "you can't get data removed or even access it", here's some specific examples:

https://ico.org.uk/for-organisations/guide-to-data-protectio...

https://ico.org.uk/for-organisations/guide-to-data-protectio...

Like everywhere else, medical and "social work" data (and keep in mind that both the medical and social workers can lock people up for extended periods of time, even in isolation. Extended means decades, even until death, and that under circumstances that are justified using records on which that applies. You can't access, remove or change that data, but it can (and is in practice) used to lock you away legally indefinitely)

Insurance:

https://ico.org.uk/for-organisations/guide-to-data-protectio... (NHS is the insurer in Scotland. Essentially, ANY data that can be used for legal purposes (whether to sue you or to defend itself or any decision it made) is exempt from GPDR. No matter how personal the data. Technically this may even cover publishing such data.

I realize this is for one specific part of Europe, but there are analogues everywhere. And, frankly, look at the size of that list. It's only the beginning, on the left, click open, "right to X" and there's yet another list of exemptions.