I am usually working on world maps, so projections are the first thing I started to test out. What I have discovered: any polar landmasses drawn in the Mercator Transverse or Azimuthal projections get terribly disfigured when moving back to the Equirectangular projection.
Case in point:
Mercator Transverse:

Converted to Equirectangular becomes this:

Notice that only the polar area has the problem. This seems to be consistent behavior across my tests. Please fix: I need my polar continents!