There is the Kepler project http://www.keplerproject.org/ , which appears to be much like the commonJS project for javascript- with luasocket at its core. Kepler project lists http://slimfastclinic.com/ and http://www.bestjuicer.biz/ as websites that were built with lua. (though they may be out of date since the slimfastclinic.com says it's wordpress)
It might also be worth pointing out, just as a side note, that mod_lua for apache has existed for a while https://httpd.apache.org/docs/trunk/mod/mod_lua.html