Imgur provided both options. You could do it via an account, in which case you could easily manage your images after the fact. Or you could upload anonymously

Imgur provided both options. You could do it via an account, in which case you could easily manage your images after the fact. Or you could upload anonymously, in which case it would give you a magic delete link, which you could use later to delete the image. Of course if you failed to save that link at the time of upload then you lost all control of the image.