If you want to go for popular & controversial books, I'd suggest doing Gould's The Mismeasure of Man and Murray's The Bell Curve simultaneously. Dueling bestsellers on the most controversial topic possible. However, I'd recommend keeping it far away from LessWrong if you do.
I'd love to see someone look at Brian Caplan's Selfish Reasons to Have More Kids. I and several other people I know have made parenting decisions on the basis of this book, and will probably continue to do so unless it is debunked, so I'd love to see it vetted carefully.
Malcolm Gladwell's pop science comes to mind, though I wouldn't be surprised if that's already been done to your satisfaction. https://en.wikipedia.org/wiki/Malcolm_Gladwell
There was a recent paper which was popular on Reddit and news sites, which I thought was horrible. It was about how men could supposedly smell female arousal.
I think there's a lot about this paper that's terrible, and if you want something easy to rip into, this is a nice start.
Inspired by Alexey Guzey's criticism of Matthew Walker's Why We Sleep, as well as the SSC criticisms of The Seven Principles of Marriage I was wondering if anyone had some good ideas for papers/ books that should be looked at more closely.
They should be popular/influential pieces of science, but either of questionable statistical rigor, or should be much more closely analyzed. My first thought is to go through the most cited papers in 'softer' fields (e.g. social psychology, nutrition), though I'm also curious about the literature that is not necessarily cited a lot, but often talked about by the public. Anyone have ideas?