Where can I find a free list of today's newly available domain names?  

I am currently paying a service, however I am frustrated as their
server is very often down.

This may interest you:

http://www.deleteddomains.com/

Best regards,
Rainbow

Hi John: 

http://www.expiredtraffic.com is a paid service - the most valuable
part is they give you the number of backlinks that are attached to the
domains that are about to expire.

These are free:
http://www.snapnames.com 
http://www.namewinner.com 

Good luck - this a very competitive environment. Backorder early. 

Also check out this link: 
http://www.mikeindustries.com/blog/archive/2005/03/how-to-snatch-an-expiring-domain
it explains alot about the process of grabbing an expiring domain.

I use two sites that list "pending delete" domain names. 
http://pool.com. It also includes searches to eliminate numbers and
hyphens if you don't want them.  I also use http://snapnames.com.  You
can download the "pending delete" list from there.  It is updated
daily.  Then I run the list through a filter to extract the names that
I want.

Regards,
Jack
jack@klicktheweb.com
http://klicktheweb.com

Check http://www.StuckDomains.com, they list in excess of 7 million
Expired Domain names, they are free and no registration required.