These are not just games with nice pieces. These are not games that are necessarily the best games ever. These are not games with pretty bits. These are not games that look cool when you're playing them. These are those games that when seen... are just... beautiful. You wouldn't mind leaving these games out on your coffee table when your in-laws come over to visit.
I think a new started game of Go has a sense of minimalist beauty to it. A completed game of Go is busy and cluttered.
The finished game is too cluttered (when considered as art object).
But I must agree - the first game I thought of when I saw the title of the list.
Other examples of the same sort of impact can be found in Japanese calligraphy (shoudo).