I don't know about "good", but there are Namecoin, based on bitcoin-like blockchains, and P2P DNS, based on torrent-like protocols. Some people run alternative DNS servers, without the sanction of ICANN. TOR hidden services directories might also be evolved into something similar to a DNS competitor.

The current DNS system is based on a central service authority, which creates a monopoly on an artificially scarce resource. If the whole web went IPv6 and no web server had to share an IP with another, private address book names, shared via social connections, could handle the naming of everything out on the long tail of site popularity, and the largest sites could continue using whatever makes the most money for them. I can input names myself to attach to the phone numbers I know, and pass them to a friend with a NFC tap or message, so I could potentially also do that for IP address numbers.

I don't particularly want my ability to use the web controlled by ICANN as a single central authority, especially as I perceived the recent TLD sale as a blatant cash grab. The central authority has to be trustable, and I don't fully trust it.