Weren't there tons of replications of the experiment? My impression was everyone was shocked at the initial outcome of the study, and rushed to replicate.
Googled, and yep. http://en.wikipedia.org/wiki/Milgram_experiment#Replications_and_variations
Or rather, people didn't rush to replicate. So that part was wrong. But, there were replications that came out with about the same numbers.
There's a book called Behind the Shock Machine by psychologist Gina Perry, published just a week ago, which investigates the original Milgram obedience experiments. I haven't read it, but I've read a summary / editorial published in the Pacific Standard.
Of course, the editorial is in some measure designed to provoke outrage, generate click-throughs, and leave readers biased against Milgram. I don't trust the editorial to report unbiased truth. If anyone has read the book, what do you think about it?
Key quote from the editorial: