What are other ways organisms can be classified?

The taxon system; domain, kingdom, phylum, class, order, family, genus and species

in that order

Scientists Classify Organisms into Three Domains.

Each domain is subdivided into kingdoms, followed by phyla, class, order, family, genus, and species. We will focus on domains and kingdoms. All living organisms are classified into one of three domains: Bacteria, Archaea, and Eukarya.