Kaposi rhymes with:
ruposi, tamposi, amorosi, bossi, bugliosi, cangelosi, cangialosi, cardosi, carosi, colosi, cosi, grossi, koci, kosy, labrosse, lacosse, larose, locey, locy, lugosi, nicolosi, nkohse, pelosi, preziosi, rowsey, ruposi, soucy, tamposi, tosi, yossi
Kaposi sounds like:
kabuki, kafka, kafka's, kafkaesque, kaposi's, kappes, kappus, kaps, keeps, keepsake, keepsakes, kepco, kevex, kickback, kickbacks, kiev's, kippes, kishbaugh, kobak, kobayashi, kobe's, kobes, kobs, kobus, kobza, koepke, koop's, koops, kopacz, kopas, kopec, kopecky, kopek, kopeks, kopischke, kopka, kopke, kopko, koppes, kops, kovac, kovach, kovach's, kovacic, kovacich, kovacik, kovack, kovacs, kovaks, kovich, kubacki, kubas, kubes, kubiak, kubic, kubica, kubicek, kubick, kubicki, kubik, kubis, kubisiak, kupek, kupiec, kupka