XiangQi (and its Korean equivalent), Shogi, Chess (and its predecessors), and Go (as well as a few others) are pretty much the only traditional board games that are only partially solved, whilst the rest of the simpler games have been submerged by the waters of human and computer intelligence.
Chess, with its ever-rising popularity, would most likely be the first of the list to be solved. Likewise, the other board games, with its lower popularity, would be solved much later because not as much people try.
Plus, all the board games also have a philosophical realm; a realm which no computer (and not many humans) can ever tread no matter how hard they try. That's the only bright side of chess being solved that I can think of.
For more info, go to http://en.wikipedia.org/wiki/Game_complexity
You know that world famine and poverty were also solved in theory. It seems that when people play the game, there is no such thing as "solved"