I like the comparison between economics and medicine. Both study complex phenomena and both are limited in ways to run experiments (though medicine has much more freedom here).
We all know medicine has found a cure for lots of previously dreadful diseases, like plague, flu, TB. Doesn't mean that no one dies from TB now, but it's a problem with medical service in developing world, not with medical science. And there are issues medicine is still struggling with (AIDS, cancer, aging, etc.)
By analogy, can you give examples of macroeconomic issues which are proven to be curable if properly treated and ones not so curable?