This might appear as odd, but it would be to return to Japan in the 1800's to watch Honinbou Shusaku play Go. For those who don't know Go is an ancient game that has existed longer than chess and is far more complex to master, but far easier to learn to play. While game board size can vary, Go is traditionally played on a 19x19 square board with white and black stones being placed upon intersections.
Honinbou Shusaku is arguably the greatest Go player to ever have lived and helped to make the sport what it is today: one of the most popular games on the planet, surpassing (american) football, basketball, chess, shogi (a japanese variant of chess), baseball and several others. I've taken the time to learn to play Go (took me about 5 minutes to learn all the rules). And have played several games against both computers and people. Suffice to say, the game for myself is awe inspiring and wonderfully addictive and fun to play. For me having the honor to watch Honinbou Shusaku play a game of Go would be the highlight of my life so far.
For those interested this is what a typical game of Go looks like while a game is in progress:

Like I said, the game is easy to learn, but unbelievably hard to master. Every single game I have learned something new. And at certain times I have gone into such a massive spree of playing Go that I will find myself playing games of Go in my head...how I am able to keep track of these things I still do not know. One day I hope to be good enough at Go that I can replay an entire game step by step from memory alone (as complex as the game seems most experienced Go players can replay a game move for move from memory without error, even if they didn't play the game).