No, you said virtually anywhere, and that is true. Living in Australia, I'm acutely aware of where I can go non-stop and where a stopover is necessary. My measure is where I can go with only one stop.
(Interesting the bit starting with 'Except Africa' wasn't in your post but showed up when I hit 'Reply'. Edit: The words now appear above. And there are non-stop flights from the US to Cape Town and/or Joburg, not sure if they are from Chicago.)