Not that I endorse spreading America's housing problems to the world, but many countries in southeast asia and africa will effectively allow you to get away with renewing your visa every 6 months in perpetuity.

I knew one guy whose only legal requirement was to leave the country twice a year, for a day, in order to come back for another 6 months. But he didn't even do this - he went one step lazier and hired someone else to run his papers to the border and back every 6 months.

It's a country-by-country thing, and maybe they've closed some loopholes, but I'd be shocked if a wealthy American can't still get away with this in dozens of poorer nations.