When I first went to school, my mother told me not to accept lollies, gifts or rides from strangers. The same fears existed, but people tempered those fears and kept paranoia in check.
What has most probably changed is the social attitude which has become far more judgemental and much more intolerant. I've given a lot of thought to these social attitudes and I see today's society as closer to the Torch and Pitchfork scenes in Beauty and the Beast (think of the feminist attack on Matt Taylor by The Verge as one of many examples of extreme verbal aggression by the masses). This mob intolerance has become popular and frequent in the last 10 or so years.