The following suggestions are for broad topics; for many, you will have to narrow the focus to a specific subtheme. Also, please note that you are not limited to these subjects; if you think of another subject that interests you, please discuss it with the instructor.
The Plague of Athens (and the problem of identifying historic diseases)
Ancient Greek and Roman Medicine
Graeco-Roman Medicine and Early Christianity
Medicine in the Middle Ages
Medieval Arabic Medicine and Surgery
The History of Epilepsy (choose a focus for your research)
Saints and Medicine
The Social and Economic Effects of the Black Death
Leprosy in Medieval Europe
"New Diseases" in the Renaissance
Medieval and Renaissance Hospitals
The Renaissance Debate over the Origins of Syphilis
The History of Midwifery in the Middle Ages (or in Early Modern Europe)
Medical Humanism in the Renaissance (choose a specific humanist, or a theme relating to revival of classical medicine)
Paracelsian Medicine
Vaccination in Colonial New England
Disease and the Industrial Revolution
Cholera in 19th Century America
The Discovery of the Germ Theory of Disease (focus on Pasteur, Koch, or another figure; or focus on a specific subtheme)
Public Health in 19th Century America
The Reform of Nursing in the 19th Century
Tropical Diseases and Medicine (choose a disease or a region)
Early American Hospitals
Missionaries and Leprosy in the 19th Century
Childhood Diseases in History
Tuberculosis in the 19th Century
The Tuskegee Syphilis Study
The Eugenics Movement in the U.S. (or other country)
Medical Experiments in Nazi Germany
Tobacco and Cancer: research
and/or
political aspects