The possible formation of population gene pools of zoonotic viruses with a respiratory route of transmission and a possibility of a pandemic at different stages of biosphere evolution is analyzed. Forming of Poxviruses (Entomopoxvirinae) gene pool could be the beginning of transformation from Plants to Arthropoda (Carbon - 375 million years ago) with further evolution connected with Rodentia (Pliocene - 75-70 million years ago) and further separation of genera (500-300 thousand years ago), and respiratory transmission (epidemics) between humans (10-2 thousand years BC). Smallpox comeback would be possible. Orthomyxoviruses relicts (genus Isavirus) were possibly connected with Ichthya (Silurian - 500-410 million years ago), and then close interaction with Aves (the Cretaceous, 125-110 million years ago) with the division of genera and respiratory transmission (epidemics) between humans (10-2 thousand BC). Next pandemic of influenza A could be catastrophic in terms of the number of victims and economic damage.Coronaviruses formed a gene pool by interaction with Amphibia (subfamily Letovirinae) and then with Chiroptera in Tertiary (110-75 million years ago) with transformation to Artiodactyla (Eocene - 70-60 million years ago), and only 10-2 thousand years BC acquired the ability to a respiratory transmission and became Alphaviruses, a seasonal infection of humans. A similar situation is possible in the near future with SARS-CoV-2. Pandemics associated with zoonoses even more serious than COVID-19 are likely. Constant monitoring of populational gene pools of zoonotic viruses is necessary.