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