Doctor of Naturopathy
As awful as the idea is, there are actually 7 accredited institutions in North America that award this degree (as of 2012), 5 in the United States (Bastyr University, National College of Natural Medicine, National University of Health Sciences, Southwest College of Naturopathic Medicine and University of Bridgeport College of Naturopathic Medicine) and 2 in Canada (Boucher Institute of Naturopathic Medicine, and Canadian College of Naturopathic Medicine). For those who want a shorter route, it is also widely available from diploma mills.
Holders of this degree are likely to make obsessive use of the title "Dr." though they are not, in many jurisdictions, entitled to use this title.
These are not the doctors who don't tell you What Doctors Don't Tell You.