The Logical Fallacy of Overwhelming Exception occurs when an accurate generalization is made, but it has qualifications that eliminate so many cases that what is left to generalize about is much less than one would be led to believe.
Sandy: "The United States has the most freedom of any nation that ever existed."
Rocky: "What about all the regulations? Can you think of anything that you do that is not regulated? The Small Business Administration has calculated the cost-per-year-per-employee of business regulations to be $10,585." (The Economist)
Sandy: "Well, besides the regulations, the United States has the most freedom of any nation that ever existed."