Domain name resolution is a necessity, some providers are better than others that’s the reason why I keep a list of public DNS servers mostly for testing. The list includes the IP addresses for two public DNS providers (Level3 Communications and OpenDNS), use their services at your own discretion.
Level 3 Communications
4.2.2.1 4.2.2.2 4.2.2.3 4.2.2.4 4.2.2.5 4.2.2.6
Google DNS
8.8.8.8 8.8.4.4
OpenDNS
208.67.222.222 208.67.220.220
There are more public DNS providers, but I rarely use them.

July 16, 2009 at 2:09 pm
OpenNIC does provide public dns, too:
AU 58.6.115.42
AU 58.6.115.43
AU 119.31.230.42
BR 200.252.98.162
DE 217.79.186.148
FR 82.229.244.191
US 216.87.84.211
US 2002:d857:54d2:2:20e:2eff:fe63:d4a9
US 2001:470:1f07:38b::1
US 66.244.95.20
US 2001:470:1f10:c6::2
December 19, 2009 at 6:46 pm
I would suggest you to try Google Public DNS, because of no redirection that can speed up browsing experience, no filtering and no blocking.
http://code.google.com/intl/de-DE/speed/public-dns/docs/intro.html
http://en.wikipedia.org/wiki/Google_Public_DNS
December 23, 2009 at 11:51 pm
Thank you for reminding me, I forgot to add the Google DNS servers.