I really like cheese, but I'm also vegetarian. It would be a useful feature to mark which cheese is vegetarian on this visualization. I know it's not the point of the website, but it'd be a nice bonus :)
Lots of European cheeses still use animal rennet, including several well known AOC (or PDO in English, I guess) ones with recognizable names.
I can check Wikipedia all I want but that doesn't make several of the cheeses I like to buy vegetarian.
(I have many close friends that are similarly pedantic though for other reasons.)
Anyway, the site lets you categorize by processing method. All the acid cure options should meet your requirements, no?