I’ll definitely second this. Especially considering that some of the genres we have available are actually subgenres. Tantalus Depths is listed under Hard Sci-Fi, for example, but I don’t think it would currently show up if you were just searching under "sci-fi." The same would go for the Space Opera subgenre, or for the Fairy Tale subgenre of the Fantasy genre.
Not to mention that fantasy, sci-fi, realistic fiction, historical fiction, biography, etc. could all, depending on the nature of the story, also fit under the genre of humor, adventure, thriller, etc.
Almost every book on this site could potentially be considered two or more different genres.