I'm not sure why, Buckminster Fuller's dymaxion map[^0] always seemed so cool to me, would love to have something more like that. Though it's not "equal area", but the "no preferred direction" and the fact that it could be unfolded in many ways so no place is really privileged, sounds also a kind of fairness.
[0]: https://en.wikipedia.org/wiki/Dymaxion_map