IMO, every map projection that does not have at least one of the following four properties is worthless:
Extremely simple to construct from 2D coordinates (latitude and longitude)
Extremely simple to construct from 3D coordinates (x, y, and z)
|Equal-area||Cylindrical equal-area||Azimuthal equal-area|
|Extremely simple in 2D||Equirectangular||Azimuthal equidistant|
|Extremely simple in 3D||Central cylindrical||Gnomonic|
Ludicrously overcomplicated compromise projections can go fuck themselves.