My list (Bill Wall) of the best chess players of all time (my opinion only) is as follows:

Player     Peak_Year    (Age)

Fischer - 1972 (29)
Kasparov - 1999 (36)
Kramnik - 2001 (26)
Anand - 1998 (28)
Topalov - 2005 (30)
Karpov - 1994 (43)
Leko - 2005 (25)
Ivanchuk - 2005 (36)
Svidler - 2004 (27)
Capablanca - 1927 (39)
Botvinnik - 1948 (37)
Lasker - 1909 (41)
Alekhine - 1931 (39)
Tal - 1979 (43)
Spassky - 1971 (33)
Smyslov - 1957 (36)
Morphy - 1858 (21)
Petrosian - 1963 (34)
Ljubojevic - 1975 (26)
Adams - 2000 (28)
Morozevich - 1991 (21)
Anderssen - 1859 (40)
Shirov - 2000 (27)
Kamsky - 1996 (22)
Ponomariov - 2002 (18)
Euwe - 1935 (34)
Steinitz - 1886 (50)
Polgar, Judit - 2005 (28)
Bareev - 2003 (36)
Bacrot - 2005 (22)
Gelfand - 2005 (37)
Korchnoi - 1979 (47)
Blackburne - 1876 (36)
Timman - 1990 (48)
Short - 2004 (38)
Reshevsky - 1953 (42)
Kasimdzhanov - 2001 (21)
Bronstein - 1951 (27)
Keres - 1948 (32)
Lautier - 2002 (28)
Yusupov - 1995 (35)
Fine - 1938 (24)
Beliavsky - 1997 (43)
Portisch - 1980 (42)
Geller - 1962 (37)
Khalifman - 2001 (35)
Ehlvest - 1996 (33)
Boleslavsky - 1950 (31)
Sokolov - 2004 (35)
Vaganian - 2005 (36)
Andersson - 1997 (45)
Huebner - 1981 (33)
Larsen - 1968 (33)
Rubinstein - 1912 (30)
Polugaevsky - 1979 (45)
Mecking - 1976 (24)
Ribli - 1988 (37)
Pillsbury - 1900 (28)
Nunn - 1988 (33)
Kavalek - 1974 (31)
Hort - 1977 (33)
Taimanov - 1970 (44)
Stein - 1970 (36)
Maroczy - 1906 (36)
Nimzovich - 1926 (40)
Seirawan - 1988 (28)
Gulko - 1988 (41)
Miles - 1984 (29)
Bogoljubow - 1928 (39)
Tarrasch - 1908 (46)
Gligoric - 1970 (47)
Najdorf - 1947 (37)
Flohr - 1937 (29)
Schlechter - 1910 (36)
Salov - 1995 (30)
Dreev - 2003 (34)
Duras - 1908 (26)
Krasenkow - 2000 (36)
Bernstein - 1907 (25)
Chigorin - 1889 (39)
Zukertort - 1886 (44)
Grischuk - 2003 (19)
Akopian - 2005 (33)
Smirin - 2001 (33)
Azmaiparashvili - 2003 (43)
Onischuk - 2001 (25)
Kaidanov - 2002 (42)
Yermolinksy - 1998 (39)
Van Wely - 2001 (28)
Piket - 1995 (25)
Tiviakov - 2005 (32)
Glek - 1996 (34)
Gheorghiu - 1980 (36)
Byrne, R - 1973 (45)
Balashov - 1980 (31)
Kholmov - 1963 (38)
Szabo - 1956 (39)
Averbakh - 1954 (32)
Kotov - 1952 (39)
Furman - 1947 (27)
Vidmar - 1926 (41)
Nakamura - 2005 (17)
Kashdan - 1935 (30)
Tartakover - 1927 (40)
Reti - 1929 (39)
Marshall - 1932 (30)