Projection Wizard is a web application that helps cartographers select an appropriate projection for their map. Depending on the extent and the distortion property of the map, the application proposes a projection, along with projection parameters (such as standard parallels).
2017 Henry Johns Best Paper Award by the British Cartographic Society
A free toolbox for ArcMap that projects shapefiles to the Natural Earth or Natural Earth II projection.
Both projections are supported in ArcGIS since version 10.4.