Would the Milgram Experiment results be replicated in Eastern cultures?
While I don't know of the Milgram studies being replicated cross cultural there's an older, less severe conformity study by Asch. Those use less authoritarian and more group conformity pressure. 

Eastern cultures showed higher conformity and western showed falling conformity over time.

Bond, R. &amp; Smith, Peter. (1996). Culture and conformity: A meta-analysis of studies using Asch's (1952b, 1956) line judgment task. Psychological Bulletin, 119(1), 111-137. doi: 10.1037/0033-2909.119.1.111