[1] https://en.wikipedia.org/wiki/List_of_accidents_and_incident...
I'm not saying the NTSB isn't important. But it's far from the only reason that we have fewer crashes. Government regulation can be helpful in improving standards, but they set a minimum bar. Aviation's high levels of current safety are a collaboration between many, many people. Starting with individual pilots, engineers, and maintenance techs, going up through collaborative relationships, through companies and civil society organizations, and up through national and international regulatory agencies. All of these people are taking responsibility for safety.
If so, how do you explain the catastrophic failures in construction, food safety, and banking prior to the top-down government oversight of those industries?