Social: Burger wanted to discover whether Milgram’s findings were era bound and came up with a way of exploring this without breaching ethical guidelines, which would have precluded a direct replication. Other psychologists have also come up with interesting modern takes on the Milgram paradigm including the work of Mel Slater at UCL who used an avatar as the learner and measured GSR in the teachers.
The pursuit of psychological knowledge in terms of understanding social psychological topics such as obedience and prejudice has certainly changed over time with regard to the approach or level of analysis deemed most important. In days gone by a more individualistic approach was taken, meaning that psychologists looked for personality differences in people who were more tolerant or more prejudicial. This was the line of thinking taken by the likes of Adorno and Allport. However over time, psychologists such as Sherif warned on divorcing individual behaviour from social context, reminding us tat behaviour is born of minds which are shaped within a socio-cultural context and underlined the necessity in his mind of examining scientifically the nature of the social contexts in which behaviours are germinated.
One specific example you could look at would be the evolution of the authoritarian personality through Adorno, Allport and Altermeyer and finally landing up with the 2017 survey on personalities and attitudes of the Alt Right in America: Forscher and Kteily (2017)