Honestly, anything by Red House Painters should count, but "Medicine Bottle", "Uncle Joe", and "Katy Song" (perhaps unsurprisingly) take the cake.
Other goosebumps-inducing songs include "Good Morning, Captain" by Slint, "Wealth" and "After the Flood" by Talk Talk, "Dream House" by Deafheaven, and probably others that aren't quite coming to mind at the moment.