Tails
The Amnesic Incognito Live System (Tails) is a Debian-based live DVD/USB with the goal of providing complete Internet anonymity for the user. The product ships with several Internet applications, including web browser, IRC client, mail client and instant messenger, all pre-configured with security in mind and with all traffic anonymised.
VS
Besgnulinux
Besgnulinux is a lightweight, desktop Linux distribution based on Debian's "stable" branch. Using the JWM window manager, it is designed to be fast, lightweight and easy to use, suitable for older and low-specification computers.