Trying to tell a story with data visualisation is similar to how comic strips use sequences of frames to tell a story. Researchers noted this and started to study the field of data comics, which combines both fields. Below you can find some examples.
Source: Open borders : the science and ethics of immigration, Bryn Caplan and Zach Weinersmith
Source: xkcd.com/1379
Source: A day in the life of Americans: a data comic, Matt Hong
Source: @WillikinWolf