Even if you confine your analysis to the USA, the "broken windows" theory of crime does not explain the relative shift in crime towards the suburbs, nor does it explain the increasing epidemic of drugs in rural areas. There is a lot that it does not explain, so it should be treated with suspicion. A theory that only explains one data point is not a theory at all.
Most Western nations have seen decreases in crime during since the late 1980s. The USA had the most crime, and the USA has seen the biggest decrease. No one knows why. New York City has seen the biggest decrease of all the big cities, but figuring out why, given the extremely multi-variate nature of the problem, will be extremely difficult to do. Even those theories that attempt to explain the decline of crime in the USA (aging of the population, Roe vs Wade, unleaded gasoline, change in police tactics) fail to explain why New York City should see the largest decrease in crime, since one can find other cities, for any of those variables, that saw larger changes than New York City.