Daniel Dorling, Mark Newman and Anna Barford have produced an interesting world atlas (The Atlas of the Real World: Mapping the Way We Live) that represents land area in proportion to various demographic parameters. I have been working with spatial information (maps, satellite images, etc.) for most of my career so I find this a fascinating way to visualize statistical information.
Here are a few examples shown on the website of the Telegraph, one of Britain’s newspapers.
This first map shows the world as we are most familiar with it.
This maps shows countries shaped in proportion to projected wealth in 2015.
You can see more of their maps at the Telegraph picture gallery.