i'd recommend downloading the latest stable version of debian (woody) from debian.org
. I have a pentium 133mhz laptop with 16 megs of ram and a 1.4 gig hard drive and a 2 meg vid card. I installed the the base packages along with the x window system and made sure not to install kde or gnome or anything else that was extraneous. after getting it to work, i used "apt-get install blackbox" which installs a very lightweight window manager. from there u can install whatever web browser u want, along with anything else.
p.s. make sure that when u put in the install disc, theres a screen that comes up and says something like "press enter for the default install" DONT DO THAT. type in "df24" then hit enter. that installs the newer 2.4 kernel instead of the bare bones 2.2 kernel in the default install.