63 in a research ranking (med school/health research) would not be bad. The AAU has 63 members and nearly all have medical centers. Going through AAU institutions in alphabetical order (
AAU Member Institutions), the ones without med schools are Brandeis, Caltech, then Georgia Tech which has a joint program with the Emory medical school nearby, Iowa State, then MIT which has its Health and Science Technology program (
Harvard–MIT Program of Health Sciences and Technology - Wikipedia, the free encyclopedia), not to mention the Broad Institute, Whitehead Institute, and Koch Institute, then Princeton, Purdue, Rice University has a deal with the Baylor College of Medicine, UC Berkeley is close to UCSF Medical School, and UC Santa Barbara. Everybody else, the other 53, has a medical school.
So if you are the #63 ranked medical school for research, you are about 10-20 spots away from AAU status.