You are confusing two different things.
AUC/SGU/Ross (and perhaps other schools) students are eligible for Title IV funding (stafford loans) because the schools has satisfied US Department of Education requirements for funding (see Higher Education Act of 1965 for the rules) and has completed the review process.
As far as accreditation, the US Dept of Education has recognize the LCME as the ONLY agency able to accrediate medical schools in the United States. The US DOE also recognize the AOA as the only agency able to accrediate ostoepathic medical school in the US. States board of medicine will only recognize LCME (and AOA if there is no seperate board of osteopathic medicine) schools as "accredited medical colleges". Graduates from unaccredited schools will need ECFMG.
LCME does not accredit any schools outside the United States or Canada. AUC is not LCME accredited and for all intent and purposes, is considered a non-accredited medical school by various state medical boards. Being able to do rotations/clerkships in the US has nothing to do with accreditation ... it is up to the individual state board of medicine/osteopathic medicine and hospitals if they want to have foreign medical students rotate through their programs.
The new school in Qatar is interesting. It is essentially a branch campus of Cornell University Weill Medical College. It was the intent of Cornell to have the branch campus in Qatar be LCME accredited as a branch campus of their NY program. There are rules and requirements that must be met before "branch" status can be given to Cornell-Qatar by the LCME. As of today, it is not LCME-accredited and graduates must obtain ECFMG in order to get licensed and residency.
Here is a list of LCME-accredited school
http://www.lcme.org/directry.htm
PA State Board of Medicine
http://www.pacode.com/secure/data/049/chapter16/chap16toc.html
§ 16.1. Definitions
Accredited medical collegeAn institution of higher learning accredited by the Liaison Committee on Medical Education to provide courses in the arts and sciences of medicine and related subjects and empowered to grant professional and academic degrees in medicine.
Oregon
http://www.bme.state.or.us/phyappgeneralinformation1.html
An approved school of medicine is one offering a program of study in medicine or osteopathy leading to a degree of Doctor of Medicine or Doctor of Osteopathy. Such a program must be accredited by the Liaison Committee on Medical Education or the American Osteopathic Association, ...
An unapproved school of medicine is one not approved by the Liaison Committee on Medical Education or its successor agency, or the American Osteopathic Association or its successor agency ...
http://www.admissionsboards.com/post.asp?method=ReplyQuote&REPLY_ID=712&TOPIC_ID=326&FORUM_ID=27
http://www.ama-assn.org/amednews/2002/11/25/prsc1125.htm