Web mercator is fantastic map. It's well known of course, so very helpful to orient. Plus, its square and easily tile-able, which is good for performance. Shapes of countries are preserved. Plus, the lines are straight, which works great for on screen. Neat and tidy.

Who cares Greenland looks big when zoomed out. "Mercator distorts size" is one of those gis-nerd idee fixes, the first factoid they learn in class, and it overwhelms all thought.