Breht and Alyson talk about this in their episode on Socialism: Utopian and Scientific when they talk about how Marxism is a science. Breht brought up some events that could falsify key pillars of Marxist thought (around 1:25 in)
Any of these events happening would crush key views of Marxism.
I am not familiar with the subject but you could start by looking into the criticisms of the WTO that the protesters at the Battle of Seattle in 1999 had.