Although not a single map, this projection type came out in 2021 and is said to be the least distorted invented so far:
https://vanderbei.princeton.edu/planets_webgl/GottPlanets.html
(you can click a location to centre it, but I think you have to press reset to do it again).
This list of projection types is considerable:
https://en.wikipedia.org/wiki/List_of_map_projections
https://vanderbei.princeton.edu/planets_webgl/GottPlanets.html
(you can click a location to centre it, but I think you have to press reset to do it again).
This list of projection types is considerable:
https://en.wikipedia.org/wiki/List_of_map_projections