Where are the anonymous/private domain validation SSL certs?

While there doesn't appear to be any existing privacy-friendly CA at this moment, all evidence suggests that the recently-announced Let's Encrypt CA (launching summer 2015) will not require users to provide personal information. This could change, but I doubt it will given EFF's involvement.

If Let's Encrypt will not collect any personal information when it launches, then that suggests that existing CAs do not fundamentally require your personal information, and that they ask for it simply because they can.