UPDATE 2018: Cloudflare announced 1.1.1.1 public DNS Service.
I haven't been using the DNS that my ISP provides for five years now and many problems have gone away. Especially problems regarding updating speed. I've been using OpenDNS for my systems, and Google DNS for most of the setups I do for other people. Both because they are stable and easy to remember.
Lately I decided to find out what other option are out there. I'm happy to provide a complete list of IPv4 and IPv6 of publicly available DNS.