Does the possibility exist to access one's iTunes music collection from any web browser? e.g. to browse the library and stream the songs.
Found an application that maybe a suitable alternative to Matthieu's answer:
pulpTunes aka The Web Server for iTunes
Allows you to access your music from anywhere via a web browser.
It is available for both OS X and Windows.
Another application that fits the bill is iHomeServer for iTunes - this app generally extends iTunes's media serving capabilities including providing an iTunes web interface. The web interface is initially only available internally on your home network, however if you register at http://www.StreamMyiTunes.com then you can log in to your home computer's iTunes from anywhere.
Also has a built in DLNA server so I've been able to replace quite a few different programs with just this one.
you can only open iTunes app from browser by going to this link : https://itunes.apple.com/store/
you can't get the music lists...