Measure vertically to find the great-circle distance from London to any other point. The clockwise direction from North is shown horizontally.
This is the simplest projection of all, the plate carrée! However, the world is rotated so that London is where the North pole would normally be at the top.
This was proposed by F. V. Botley in 1951.
The azimuthal equidistant projection also shows both azimuth and distance relative to an origin, but in polar coordinates. This projection is far less distorted near the origin, and thus seems better overall.
However, it has to be said that rectangular coordinates are somewhat easier to read, and moreover the plate carrée would have been more straightforward to construct without the use of a computer.