Garry Kasparov - arguably the strongest player in Chess History

Kasparov became the youngest ever undisputed World Chess Champion in 1985 at the age of 22.[2] He held the official FIDE world title until 1993, when a dispute with FIDE led him to set up a rival organization, the Professional Chess Association. He continued to hold the "Classical" World Chess Championship until his defeat by Vladimir Kramnik in 2000. He is also widely known for being the first world chess champion to lose a match to a computer, when he lost to Deep Blue in 1997.

Kasparov's ratings achievements include being rated world #1 according to Elo rating almost continuously from 1986 until his retirement in 2005 and holding the all-time highest rating of 2851.[3] He was the world number-one ranked player for 255 months, by far the most of all-time and nearly three times as long as his closest rival, Anatoly Karpov. He also holds records for consecutive tournament victories and Chess Oscars.

- Wiki

Classic Kasparov Games
Sun NeYeto vs Kasparov 1981, Graz Tournament
Karpov vs Kasparov 1985
Kasparov vs Shirov 1994
Kasparov vs Topalov 1999

Kasparov defeats against British Players
Adams vs Kasparov 2005
Kasparov vs Speelman
Light squared grip! - Kasparov vs Short

Kasparov playing unusual openings
Kasparov played the Trompovsky in a recent Simultaneous Display!
Kasparov plays the Evans Gambit

Kasparov at 1980 La Valletta Olympiad
Part 1 of 3
Part 2 of 3
Part 3 of 3

Kasparov at 1982 Luzern Olympiad
Kasparov at the 1982 Chess Olympiad vs GM Gligoric GM Nunn GM Alburt GM Suba
GM Korchnoi vs GM Kasparov - Luzern 1982 Olympiad - Benoni Defence

Kasparov at Moscow 1982 Interzonal World Championship Qualifier Tournament
Kasparov Game vs Christiansen: Add spice because two eval numbers!

Kasparov at Tilburg 1989
Piket vs Kasparov
Kasparov vs Ivanchuk
Hjartarson vs Kasparov
Kasparov vs Korchnoi
Kasparov vs Adgestein
Kasparov vs Ljubojevic
Adgestein vs Kasparov
Kasparov vs Sax
Kasparov vs Piket
Kasparov vs Hjartarson

Kasparov at Linares 1990
Kasparov vs Spassky
Portisch vs Kasparov
Ivanchuk vs Kasparov
Yusopov vs Kasparov
Kasparov vs Illescas
Kasparov vs Short

Kasparov at Linares 1991
Ivanchuk vs Kasparov
Anand vs Ivanchuk
Ivanchuk vs Gurevich
Ivanchuk vs Gelfand
Ivanchuk vs Karpov

Kasparov at Linares 1992
Kasparov vs Karpov
Kasparov vs Short
Ljubojevic vs Kasparov 1992
Gelfand vs Kasparov 1992
Timman vs Kasparov
Kasparov vs Illescas
Yusupov vs Kasparov

Kasparov at Linares 1993
Karpov vs Kasparov Linares 1993
Ljubojevic vs Kasparov 1993
Kasparov vs Anand 1993 Linares
Karpov vs Kasparov 1993
Kasparov vs Kamsky 1993
Kasparov vs Gelfand 1993
Kasparov vs Bareev
Kasparov vs Timman 1993

Kasparov vs Rest of World Exhibition match 1999
Part 1
Part 2
Part 3
Part 4

Kasparov vs Karpov Blitz Match, 2009, Two 30 minute games
Game 1
Game 2 Part 1 of 2
Game 2 Part 2 of 2
Game 3
Game 4
Kasparov vs Karpov Blitz Match, 2009, Eight 5 minute games
Game 1
Game 2
Game 3
Game 4
Game 5
Game 6
Game 7
Game 8

Kasparov telling his own story

Kasparov My Story videos can be found here
Part 1 (Kengis game)
Part 2 (Kengis game, Master norm)
Part 3
Part 4
Part 5
Part 6
Part 7
Part 8 (Chess Olympiad 1980)
Part 9 (Chess Olympiad 1980)
Part 10
Part 11
Part 12 (game with Romanishin)
Part 13 (game with Romanishin)
Part 14 (game with Romanishin, mention of Tal, Botvinnik)
Part 15 (Botivinnik, Smylsov, Tal, Alekhine discussed)