"Man Obsessed" by Daniel Johnston from Welcome To My World.
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as for other great shoegaze-y stuff, don't ever fucking forget all natural lemon & lime. or swervedriver. or astrobrite. or the telescopes.
also, i can't imagine a shoegaze fan not liking at least some of the more "buzz-y" black metal stuff unless they just can't stand darker music or the vocals. check out xasthur, w.o.l.d.,
for more "definitely not shoegaze, but coming from a similar place in the heart" vibe, check out hjarnidaudi, sunroof!, fennesz, ghq, bright, etc.