The document summarizes different systems of classification of microorganisms over time, from Linnaeus' two kingdom system to the current three domain system. It explains Carl Woese's three domain system which classifies organisms into Archaea, Bacteria and Eukarya domains based on genetic sequencing and differences in ribosomal RNA. The five kingdom system of Monera, Protista, Fungi, Plantae and Animalia is also described. Examples are provided of key microorganisms classified under each system.