EEEguides.com

Here are the most recent bios updates for the 2g 4G and 8G eee pcs. The folks over at eeeusers have already compiled a nice guide for updating the bios so I'll just link to theirs instead of creating my own. Downloads below.

EEE pc 2G BIOS version 0129 (download)
EEE pc 4G BIOS version 0401 (download)
EEE pc 4G BIOS version 0703 (download) Newest
EEE pc 8G BIOS version 0404 (download)

http://wiki.eeeuser.com/howto:updatebios <- Link to update guide.

Below is the 8804 bios for the 701 model EEE pc, you can look at the bottom of your EEE for "Asus 701" to confirm you have this model. The main benefit of running this older version of the bios is that it allows you to run the CPU at the full 900 mhz without using overclocking software. However some people have reported they get wavy lines on their screen using this bios, if you do get these lines it is easily fixed by reverting to another bios version.

EEE pc any 701 model BIOS version 8804 (download)