I think my favourite projection to use to show the differences in projections (and how odd they can make the world look) is the Hammer retroazimuthal projection, which was created to display a straight line from anywhere in the world to mecca.
i attachd a quick screenshot... i found it on this site http://www.galleryofmapprojections.com/Azimuthal.html which has a whole bunch of projections in pdf format, which you can probably print out easily (i dunno at what size however) to show these differences...