Facebook knows who I am because people keep tagging me in photos.
Why do I not have the right to say "blank me out of all photos".
It should be up to me if my image is on Facbeook.
Facebook has the technology to identify me and therefore it should give me the right to NOT appear, even if (especially if) I don't have a Facebook account.
It is, but it's not Facebook who put the images there. It's the people taking the photos and uploading them. Tell your friends not to tag you.
If you have a Facebook account, then you can disable you being 'auto-tagged' in pictures [1]. If you don't, then you can't be tagged properly (eg linked to a profile, obviously), and there's only the text descriptions that people put there.
This for example allows you to take a photo on the street and publish it even if the photo contains some strangers. The concern that does come up is whether the subject of the photo has a reasonable expectation of privacy; if they are in public, they do not. (note: not a lawyer, but I have taken many photos of strangers)
This approach might be tricky. Are you an EU citizen? Does Facebook have any EU presence?