This is a great series of maps showing how crappy the Mercator Projection is at comparing sizes of countries. (It's great for navigation, though.)
17 Maps That Will Totally Change The Way You Look At The World
Prepare to doubt everything you’ve ever known.
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Also see http://www.ga.gov.au/scientific-topics/national-location-information/dimensions/australias-size-compared
Actually, more than the US/AU size comparison, I found the idea that London to Edinburgh is about the same as LA to Sacramento the most personally intriguing. I mean, I kinda-sorta knew that if I moosh the driving memories together, but it's not an instinctive comparison.