International Medical Graduates Anti-Discrimination Act of 1991 - Prohibits denying equal access to practice medicine in any jurisdiction in the United States to any person who is a practicing and licensed physician in any U.S. State and who is a graduate of a medical school outside the United States. Prohibits any law, regulation, policy, or requirements for obtaining or maintaining a license to practice medicine from discriminating against such a person.

Establishes: (1) the National Repository of International Medical Graduate Records; and (2) the Advisory Council on Medical Licensure. Authorizes appropriations.

Authorizes the Secretary of Health and Human Services to make grants for the development and administration of a uniform national medical licensing examination or set of examinations. Authorizes appropriations.

Directs the Secretary to obtain on a periodic basis from the physician licensing authority of at least ten States certain information comparing the treatment of graduates from U.S. and Canadian medical schools with graduates of other medical schools.

Makes it unlawful for a graduate medical residency training program to deny a post-graduate training position to a qualified individual who is a U.S. citizen or permanent resident and a graduate of a medical school outside the United States and Canada.