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well, I am not exactly Kramnik's fan, but this game has it all:
http://www.chessgames.com/perl/chessgame?gid=1311652
Kramnik needed a win in this last game to tie the match and to secure his title and he went straight for it from the very first move. Imagine how you feel when you are playing in a small unimportant local tournament trying to get to 50% and then compare it with this match. Quite a difference.
Then I would probably include some of the "The Man vs. Machine" games, one from the first match that Kasparov won and one from the second match, won by Deep Blue.
Considering this is for art, you probably really should include the 6th game of the 1960 Tal - Botvinnik WCH. Tal sacrifices a knight right after an opening and Botvinnik couldn't find refutation OTB. I suggest the name of the game - Trolling is a art :) http://www.chessgames.com/perl/chessgame?gid=1032537
Some of other famous games (I am too lazy to include links) - Capablanca vs Marshall, the game when after about 15 years of studying it Frank Marshall first played the dangerous Marshall Gambit and guess what, Jose Raul Capablanca saved the game that looked lost without big problems.
You will surely choose some games from Kasparov - Karpov epic matches and perhaps some of Fisher's games. I would include one of Carlsen's games, to show people who will be the next world champion. Hm, speaking of that, wait for tommorrow and include one game of the new World Champion.
that's about 7-8 games, I hope I helped :)

Well, so history-changing games.. Kramnik-Leko is out in this case, also Anand and Gelfand. Carlsen-Kasparov, I think that game ended in a draw, that would certainly fit your requirements.
I would really include Mikhail Tal, because he certainly changed the history of the game. Then some game from the Fischer - Spassky match '72, that match probably changed everything, the chess was suddenly on the title pages of the newspapers throughout the world.
I stay with the Capablanca - Marshall game and another great one to think of is certainly Alexander Alekhine. You are from the Netherlands, so probably you would like to include one Max Euwe's win.

about the Capablanca. I don't know many of his games, his losses were so rare that perhaps I know them more :) for example NY 1924, where he lost after 8 years with my local ancestor Richard Réti (btw yesterday was his birthday). The game with Marshall was of some historical importance, because as I said Marshall was preparing his gambit for years and Capa refuted it just as nothing had happened.
I think we really forgot one of the greatest - Paul Morphy. If you don't know his "Opera Game" I let you to find and love it yourself. :)

Just remembered, Capablanca - Alekhine match is a MUST if you want to tell something about the history of chess. In this EPIC match the foundations of 1.d4 were built, Alekhine did something noone could ever imagine - beat the unbeatable Capablanca not in a game but in a whole match. This is a must.