If you want to run another Linux distro on your Eee PC, mabybe Eeetiger is the right one for you.
Eeetiger is customized to run on the Asus Eee PC & is a light-weight distro. It's based on TigerPup (fork of Puppy Linux). Tigerpup is a modification that adds 3D desktop effects to the standard Puppy Linux distro. Another Puppy based distro was released a while ago; Puppeee Linux.
This version includes support for the Eee PC hardware, like the WiFi drivers & the screen resolution of 800x480 (higher resolutions for other Eee PCs).
A nice feature are the hotkeys for zooming in & making windows fullscreen. You can also adjust the resolution to work with an Eee PC 901 or other model.
It also features some nice applications like Dillo & Opera internet browsers, Pidgin (multiprocol chat client), Abiword (Word processor) & the Gimp (Graphics editor)