I do keep a list of what I read. In fact, I go beyond that and keep a journal where I write reviews / commentary on every book I read. I do that mostly because it forces me to think about what I read.
But I have no particular interest in whether anybody else reads the same stuff I do. If I recommend a book, it is usually a recommendation to a specific person whose tastes and interests I know something of. In many of those cases, I will actually buy them a copy of that book.
I just don't see the point of book popularity contests.