Tableau
Can create story also
Tableau Desktop -- subscription required
Tableau Public -- data is made public
plot.ly
data made public, unless pay subscription
d3js.org
Javascript library
rawgraphs.io
Built on d3.js, produce graphs in browser using copy-paste, without sending data to server
JpGraph.net
PHP solution
modestmaps.com
javascript, for maps
carto.com
for maps also, free if data made public
envision.js
does not seem so useful