It does exist. It's not a new protocol, you can use (just about) anything that supports tcp. The domain names all end in ".onion"
The more challenging issue I see is getting a large community of people to switch from their existing happy-clicky (low-friction, no pun intended) website to something that requires installing Tor.
Instead of watching hour-long videos in 1080p, you get to watch a single JPEG download and render line-by-line until the connection drops right at the exciting part.