The Oxford English Dictionary (OED) is the closest you’ll come to a comprehensive inventory. It is also still available (isn’t it?) in printed book form. I have a two-volume edition (four three-column pages per page; very small print) and a one-volume edition (nine pages per page; very, very small print). They come with magnifying glasses. I think they’re beautiful.
But you can do well with your vocabulary if you just keep reading, reading various authors and reading in a range of subject matter. Read periodicals as well as books. Look up any word you don’t know; but first try to guess their meaning from context clues and see how close you come. You might even start a notebook of words you’re learning.
A good command of English is much more than vocabulary, though. And good models of grammar, composition, structure, and style and harder and harder to come by. Even venerable publications such as the Washington Post and Harper’s (magazine, not Bazaar) are edited with less care than they used to be.
Read some older books, even if the language is a little unfamiliar. They used to be more competently edited and proofread than most of them are now.
P.S. You are smart to recognize that speaking and writing well are aspects of perceived intelligence. A person who doesn’t have those skills might still be bright and even brilliant, but it’s generally harder to recognize. Spoken and written English are often your ambassadors, preceding you in applications, resumes, phone calls, texts, profiles, and other media. Your first impressions get there before you do.