Mammalian orthoreoviruses (reoviruses) are currently classified based on properties of the attachment protein, σ1. Four reovirus serotypes have been identified, three of which are represented by well-studied prototype human reovirus strains. Reoviruses contain ten segments of double-stranded RNA that encode 12 proteins and can reassort during coinfection. To understand the breadth of reovirus genetic diversity and its potential influence on reassortment, the sequence of the entire genome should be considered. While much is known about the prototype strains, a thorough analysis of all ten reovirus genome segment sequences has not previously been conducted. We analyzed phylogenetic relationships and nucleotide sequence conservation for each of the ten segments of more than 60 complete or nearly complete reovirus genome sequences, including those of the prototype strains. Using these relationships, we defined genotypes for each segment, with minimum nucleotide identities of 77-88% for most genotypes that contain several representative sequences. We applied segment genotypes to determine reovirus genome constellations, and we propose implementation of an updated reovirus genome classification system that incorporates genotype information for each segment. For most sequenced reoviruses, segments other than S1, which encodes σ1, cluster into a small number of genotypes and a limited array of genome constellations that do not differ greatly over time or based on animal host. However, a small number of reoviruses, including prototype strain Jones, have constellations in which segment genotypes differ from those of most other sequenced reoviruses. For these reoviruses, there is little evidence of reassortment with the major genotype. Future basic research studies that focus on the most genetically divergent reoviruses may provide new insights into reovirus biology. Analysis of available partial sequences and additional complete reovirus genome sequencing may also reveal reassortment biases, host preferences, or infection outcomes that are based on reovirus genotype.