To what extent are new generations 'Thatcherite'? Using British Social Attitudes data for 1985-2012 and applying age-period-cohort analysis and generalized additive models, this article investigates whether Thatcher's Children hold more right-authoritarian political values compared to other political generations. The study further examines the extent to which the generation that came of age under New Labour - Blair's Babies - shares these values. The findings for generation effects indicate that the later political generation is even more right-authoritarian, including with respect to attitudes to redistribution, welfare and crime. This view is supported by evidence of cohort effects. These results show that the legacy of Thatcherism for left-right and libertarian-authoritarian values is its long-term shaping of public opinion through political socialization.