Do you mean politically or naturally? Politically is Antartica, and naturally is probably nowhere. Each landmark has its risks. But greenland, as mpoland said, is pretty safe but COLD. Anyway, most politically 'safe' lands are behind times or is isolated :P Most. Not all.
Not all countries report such statistics about themselves. I traveled in countries where I felt safe with my family but petty theft can be a problem. Currently, I am trying to get the hotel I stayed at to return a missing item.
As far as being on the street--some US states and Communities are safer than others many Americans don't bother to lock their doors.