There are no cancers totally preventable by vaccinations. I would explain that some vaccines can reduce the risk of cancers but not totally prevent it.
A good example is the Cervical Cancer Vaccine or HPV (Human Papillomavirus Vaccine). It reduces the risk of contracting strains of HPV which is a direct causatory factor for cervical cancer but it does not totally eliminate the risk of contracting these cancer causing strains of viruses.
Another example is the Hepatitis B vaccine which prevents someone from contracting the Hepatitis B virus which is a major risk factor for Liver Cancer. However, there exists other risk factors for Liver Cancer as well.
