There are many cases of genetic diseases due to mutations in Wnt signaling components. Among these are several where multiple Wnt signaling components have been found as mutated in families. These diseases include abnormalities in bone density, tooth development and the retina. Another example is Robinow syndrome, associated with mutations in three different Wnt signaling components: ROR2 (Van Bokhoven et al, 2000) , WNT5A and DVL1.
The table lists many of these diseases and the genes mutated.
See for reviews:
Moon, RT et al, WNT and beta-catenin signalling: diseases and therapies. Nat Rev Genet. 2004 Sep;5(9):691-701
Clevers, H and Nusse, R. Wnt/β-Catenin Signaling and Disease. Cell. 2012 Jun 8;149(6):1192-205.
Anastas, JN and Moon, RT WNT signalling pathways as therapeutic targets in cancer. Nature Rev Cancer 13 2013:11-26