Forgive me for being a bit ignorant about this, since I'm quite a bit outside the lua community myself. (and didn't quite expect to get voted to the top here) I've done some googling around, and It's hard to say if luasocket is abandoned as such- but there are several forks of it. Regardless, it's the standard library that pretty much anyone and everyone uses for networking. There are a number of forks on github of luasocket- maintained presumably to add features needed for specific projects.
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 (though they may be out of date since the slimfastclinic.com says it's wordpress)
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 (though they may be out of date since the slimfastclinic.com says it's wordpress)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