Cellular pathways that detect DNA damage are useful for identifying genes that suppress DNA damage, which can cause genome instability and cancer predisposition syndromes when mutated. We identified 199 high-confidence and 530 low-confidence DNA damage suppressing (DDS) genes in Saccharomyces cerevisiae through a whole genome screen for mutations inducing Hug1 expression, a focused screen for mutations inducing Ddc2 foci, and data from previous screens for mutations causing Rad52 foci accumulation and Rnr3 induction. We also identified 286 high-confidence and 394 low-confidence diverse genome instability suppressing (DGIS) genes through a whole genome screen for mutations resulting in increased gross chromosomal rearrangements and data from previous screens for mutations causing increased genome instability as assessed in a diversity of genome instability assays. Genes that suppress both pathways (DDS + DGIS+) prevent or repair DNA replication damage and likely include genes preventing collisions between the replication and transcription machineries. DDS + DGIS- genes, including many transcription-related genes, likely suppress damage that is normally repaired properly or prevent inappropriate signaling, whereas DDS- DGIS + genes, like PIF1, do not suppress damage but likely promote its proper, non-mutagenic repair. Thus, induction of DNA damage markers is not a reliable indicator of increased genome instability, and the DDS and DGIS categories define of mechanistically distinct groups of genes.