I don't know about a website.
To my knowledge there is no one volume. This does not mean it does not exist, but I have never seen it nor heard of one like it.
Remember that such a volume would be technically "out of date" following each opening.
What is referred to as the "Best Plays" series or sometimes called the Burns Mantle yearbook (after a longtime editor) does list the shows by season and they are published annually. They date to the 1890s or so and a good library would have a complete collection. I believe Applause is the current publisher of the series, but I am not sure who the editor is these days. Maybe Jeffrey Sweet.
Perhaps I can suggest that this desired volume could become your calling card into the business we call show. How to make it a must-have is the difficult point. If it is just stats, who cares? There has to be some text and context.
That may not be what you want to hear. I sure wouldn't want to see this addressed to me.
"If my life weren't funny, it would just be true. And that would be unacceptable."
--Carrie Fisher