Call for examples

When I posted my case study of an abuse of frequentist statistics, cupholder wrote:

Still, the main post feels to me like a sales pitch for Bayes brand chainsaws that's trying to scare me off Neyman-Pearson chainsaws by pointing out how often people using Neyman-Pearson chainsaws accidentally cut off a limb with them.

So this is a call for examples of abuse of Bayesian statistics; examples by working scientists preferred. Let’s learn how to avoid these mistakes.