Klinefelter syndrome with XXY is the most common of the non-standard combinations, but only account for about 1/1000 of male births. Combinatorics of sex chromosome aneuploidies such as XXX, XXY, XXXY and so on does only give a finite number of combinations.
I do not really see why this argument is brought up so often. Is it neccesary to speak of chromosmes to validate gender identity?