Cancers Common in Patients with HIV Infection By Edward R Cachay, MD, MAS, University of California, San Diego School of Medicine Reviewed / Revised Feb 2023 View Patient Education AIDS-defining cancers in patients infected with HIV are Kaposi sarcoma Lymphoma, Burkitt (or equivalent term) Lymphoma, immunoblastic (or equivalent term) Lymphoma, primary, of central nervous system Cervical cancer, invasive Other cancers that appear to be dramatically increased in incidence or severity include Hodgkin lymphoma (especially the mixed cellularity and lymphocyte-depleted subtypes) Anal cancer Testicular cancer Melanoma Other skin and superficial eye cancers Leiomyosarcoma is a rare complication of HIV infection in children.