Hey Tyler,
As Horndude Suggested Slackware would be good but there are two others that might also fit the requirements you are looking for, DSL and Puppy Linux are both Small Linux OSes:
Puppy Linux
http://www.goosee.com/puppy/download/downpage.htm
DSL
http://www.damnsmalllinux.org/download.html
Also here is A link of Both Linux OSs on Floppy and Mini Linux Distributions that are very Lightweight
Floppy
http://www.linuxlinks.com/Distributions/Floppy/
Mini Distros
http://www.linuxlinks.com/Distributi...Distributions/
Hope this Helps,
Jake