Smallpox has been eradicated from the face of the Earth following a highly effective, worldwide vaccination campaign. Paralytic poliomyelitis is no longer a problem in the U.S. because of development and use of effective vaccines against the poliovirus. In current times, millions of lives have been saved because of rapid deployment of effective vaccines against COVID-19. And yet, it has been 37 years since HIV was discovered as the cause of AIDS, and there is no vaccine. Here I will describe the difficulties facing development of an effective vaccine against HIV/AIDS.