An obvious low-hanging fruit, hiding in plain sight is medical errors. Due to poor recognition and under-reporting, what we notice and read about is only the tail of the bell curve of severity.
Interesting timing; I spent this morning in a risk management simulation: a mock hospital, with actors playing patients, surrounded by a bunch of doctors criticizing me when anything I did looked like it left potential open for a medical error. This was part of about fifty hours or so of training specifically in avoiding medical errors I've gone through in the past four years. Also, my record for "number of different doctors who have mentioned Atul Gawande to me in a single day" currently stands at three, and I'm expecting it to be broken before ...
Those of us who have found the arguments for stagnation in our near future by Peter Thiel and Tyler Cowen pretty convincing, usually look only to the information and computer industries as something that is and perhaps even can keep us afloat. On the excellent West Hunters blog (which he shares with Henry Harpending) Gregory Cochran speculates that there might be room for progress in a seemingly unlikely field.
Link to post.
I think Greg is underestimating the slight problems of massive over-regulation and guild-like rent seeking that limits medical research and providing medical advice quite severely. He does however make a compelling case for there to still be low hanging fruit there which with a more scientific and rational approach could easily be plucked. I also can't help but wonder if investigating older, supposedly disproved, treatments and theories together with novel research might bring up a few interesting things.
Many on LessWrong share Greg's estimation of the incompetence of the medical establishment, but how many share his optimism that our lack of recent progress isn't just the result of dealing with a really difficult problem set? It may be hard to tell if he is right.