Types of cancer that are more likely to occur in people who are infected with the human immunodeficiency virus (HIV). The most common AIDS-related cancers are Kaposi sarcoma, non-Hodgkin lymphoma, and cervical cancer. People infected with HIV who develop any one of these cancers are considered to have AIDS. Other less common types of AIDS-related cancers include cancers of the mouth, throat, liver, lung, colon, rectum, anus, testes, and skin.