Autosomal recessive syndromes include those caused by biallelic PVs in the DNA mismatch repair genes MLH1, MSH2, MSH6, PMS2, MSH3 and probably MLH3, and in the base excision repair genes MUTYH, NTHL1 and MBD4. This review provides an in-depth discussion of the genetic and molecular mechanisms underlying hereditary adenomatous polyposis syndromes, their clinical presentations, tumour mutational signatures, and emerging approaches for the treatment of the associated cancers. This evidence concerns the gene MSH3 and cancer.