Thanks for the term "false cognates", Rock Island. Unfortunately it's too often used when "false friends" is meant that it makes it hard to weed out the false leads. The most productive links are all quoting a Wikipedia article that does mention a couple of interesting examples; the Mbabaram (an Australian Aboriginal language) dog which means dog, for one. There are also mentions of the kinship terms ma, pa, etc, which are hors concours for reasons discussed elsewhere. But we're on the right track.