If you're on DSL or Cable Broadband, you'll have no problems and those providers are so far behind the times they don't even recognize that you're running IPv6 over their networks and none of their blocking has any effect on your IPv6 traffic, so, yes, you can run servers on IPv6 even when you can't on IPv4.
So if one is on say, Comcast or Speakeasy (neither of whom appear to have AAAA records on the base name), can one get a routable IPv6 address? Or must one tunnel at this point?