Besides this ham, evidently Chinese demand has been blamed for the global shortage of avocados [0] and the lack of butter in France [1]. I've personally most noticed the effect when it comes to wide-release movies, in which the heroes manage to find some reason to end up for a brief scene in China, or to use Chinese brand products -- Civil War, Transformers, and Robocop come to mind. There's also the suspicion that A…
Frenchman here, the shortage of butter is partly related to an increase in consumption of butter in China (and the United States as well) but honestly it is also partly explained by a problem with the supply chain in the country. We produce huge surplus of milk every year, farmers end up having to throw it away because of EU regulation, so there's no reason why we should have a shortage of butter.
Source?