I don't know many producers, maybe with the exception of the Broccoli family who are producing James Bond :) I know some directors of photography, though, because their work is defines an aesthetic characteristic of movies. However I was/am a film buzz for a long time and don't think the layman will know any directors of photography.

Related it's also interesting that in German the directory of photography is only called a "Kameramann" (camera guy) while the English term emphasizes their "directing". And it's true. They are typically not the ones operating the camera but have operators for that like "focus pullers".

Sorry, I got carried a away with the topic a little bit :)