Trivial Proxy is a small application that allow to see and log network activity of the any applications(browsers, email clients etc.).
So what does that mean in English? Simple, run TrivialProxy and configure it to redirect the local port to the specified host:port; configure the appication to use this port and localhost (it's very easy, there's), and voila! You're seeing and logging the network activity of this application! Supports HTTP (web), HTTPS (secure web), POP3 (recieve mail), SMTP (send mail), NNTP (newsgroups)! It works great with Internet Explorer, Firefox, Outlook, and many more!
Trivial Proxy is totally FREE for personal and non-commersial usage.