I believe every year The Canadian Medical Association Journal publishes a mostly-humorous edition around Christmas. And there's a long history of satire in NEJM, BMJ, The Lancet, etc
I particularly enjoy this one (PDF):
http://cda.psych.uiuc.edu/multivariate_fall_2013/salmon_fmri...
that... isn't... satire. It's written in a funny way because it was a "silly"[0] experiment, but it showed a real issue with fMRI.
> What we can conclude is that random noise in the EPI timeseries may yield spurious results if multiple testing is not controlled for. In a functional image volume of 60,000-130,000 voxels the probability of a false discovery is almost certain.
[0] silly as in "there's no way this fMRI will show the frozen salmon as alive, right?"
Thanks. I think I found another good one, though more technical than OP.
> The case of the disappearing teaspoons: longitudinal cohort study of the displacement of teaspoons in an Australian research institute
https://www.bmj.com/content/331/7531/1498