List of famous chess games

Bowdler - Conway, London, 1788, the first example of the famous double rook sacrifice;
The immortal game between Adolf Anderssen and Lionel Kieseritzky (1851);
The evergreen game between Adolf Anderssen and Jean Dufresne (1852);
The opera game between Paul Morphy and two allies, the Duke of Brunswick and Count Isouard (1858);
Lasker - Bauer, Amsterdam, 1889, the first example of the famous double bishop sacrifice;
Levitsky - Marshall, 1912, widely considered one of the greatest queen sacrifices ever played;

The greatest game of chess ever played is, according to Irving Chernev, Bogoljubov - Alekhine, Hastings 1922:

“	Alekhine's subtle strategy involves manoeuvres which encompass the entire chessboard as a battlefield. There are exciting plots and counterplots. There are fascinating combinations and brilliant sacrifices of Queens and Rooks. There are two remarkable promotions of Pawns and a third in the offing, before White decides to capitulate.	”
—The Chess Companion (Chernev, Faber & Faber Ltd, 1970)

The Polish Immortal, features Glucksberg vs. Najdorf (circa 1930). Black sacrifices all 4 minor pieces for victory;
The Peruvian Immortal (1934), sees Peruvian master Esteban Canal demolish his amateur opponent with the sacrifice of 2 rooks and queen;
The Game of the Century between Bobby Fischer and Donald Byrne (1956);
The Immortal losing game occurred in 1957 between Bogdan Sliwa and David Bronstein. Black has a lost game but sets some elegant traps in attempting to snatch victory from the jaws of defeat;
The Match of the Century between Bobby Fischer and Boris Spassky (1972);
Deep Blue - Kasparov, 1996, Game 1, the first game in which a chess-playing computer defeated a reigning world champion using normal time controls (1996);
Deep Blue - Kasparov, 1997, Game 6, the last game of the 1997 rematch, which Deep Blue won, making it the first computer to defeat a world champion in a match over several games;
Kasparov versus The World, in which the reigning world champion played, via the Internet, against the entire rest of the world in consultation (1999);
Kasparov - Topalov, Wijk aan Zee, 1999, rook sacrifice with a 15+ moves forced sacrificial combination. One of the most commented chess games ever, with extensive press coverage.