Not to mention his experiment was replicated by several universities around the world[1], although due to modern ethical standards, it would be impossible to reproduce ethically at most universities today[2].
I don't think Milgram falls into the same category, especially with all the work they put in at Harvard in the controls (the learner was a tape recording; so everyone heard the exact same thing. It was the same professor in the room with him; always replicating the same dialog).
This is in direct contrast with Vsauce's trolley problem experiment, which had way too small a sample size, and who forced a response for one person by changing the conditions of the experiment (there was no one outside when he tried to get help).
[1]: https://en.wikipedia.org/wiki/Milgram_experiment#Replication...
[2]: https://www.psychologicalscience.org/observer/replicating-mi...