According to the American Society for Microbiology, the World Health Organization has only declared one virus affecting humans completely eradicated: smallpox. No viruses primarily affecting the respiratory system have been eradicated.
Widespread global coordination to deliver the smallpox vaccine is credited for the eradication of the virus. The last case was recorded in 1977, according to the Centers for Disease Control and Prevention.
Although no respiratory virus has ever been fully been eradicated, some have disappeared on their own. SARS, which was first observed in southern China in 2002, spread for about 6 months before infection slowed. Its disappearance is attributed to global coordination measures, although it is not considered officially eradicated as it is still observed in animals.