Try TinyWEB server

Quoth the raven:

TinyWeb is extremely small (executable file size is 53K), simple (no configuration other than through the command line) and fast (consumes minimum of system resources) Win32 daemon for regular (TCP/http) and secure (SSL/TLS/https) web servers.

I use it, it works. QED.

If you don't need the bother of setting up Apache then give this a go.