Comparison of top chess players throughout history

Magnus Carlsen, 2858 (peak years 2013–2021)
Garry Kasparov, 2821 (peak years 1993–2001)
Bobby Fischer, 2802 (peak years 1970–1972)
Ian Nepomniachtchi, 2786 (peak years 2020–2022)
Vladimir Kramnik, 2785 (peak years 2000–2007)
Viswanathan Anand, 2780 (peak years 2007–2014)
Veselin Topalov, 2773 (peak years 2005–2009)
Anatoly Karpov, 2746 (peak years 1974–1984)
Mikhail Tal, 2711 (peak years 1958–1960)
Vasily Smyslov, 2687 (peak years 1953–1957)
Boris Spassky, 2681 (peak years 1965–1970)
Tigran Petrosian, 2675 (peak years 1963–1969)
Judit Polgár, 2669 (peak years 1998–2005)
Paul Keres, 2663 (peak years 1956–1965)
Mikhail Botvinnik, 2659 (peak years 1948–1955)
Viktor Korchnoi, 2658 (peak years 1974–1981)
Samuel Reshevsky, 2655 (peak years 1953–1961)
Vasyl Ivanchuk, 2654 (peak years 1990–1992)
Reuben Fine, 2651 (peak years 1932–1949)
Hou Yifan, 2651 (peak years 2011–2016)
Alexander Alekhine, 2648 (peak years 1927–1934)
José Raúl Capablanca, 2633 (peak years 1921–1931)
Susan Polgar, 2616 (peak years 1990–1996)
Emanuel Lasker, 2596 (peak years 1907–1914)
Maia Chiburdanidze, 2585 (peak years 1978–1988)
David Bronstein, 2582 (peak years 1950–1954)
Ju Wenjun, 2566 (peak years 2018–2023)
Harry Nelson Pillsbury, 2554 (peak years 1897–1898)
Nona Gaprindashvili, 2529 (peak years 1969–1975)
Xie Jun, 2522 (peak years 1991–1999)
Max Euwe, 2500 (peak years 1935–1938)
Wilhelm Steinitz, 2458 (peak years 1872–1886)
Akiba Rubinstein, 2454 (peak years 1908–1912)
Efim Bogoljubow, 2414 (peak years 1928–1934)
Paul Morphy, 2411 (peak years 1857–1859)
Siegbert Tarrasch, 2402 (peak years 1893–1908)
Alla Kushnir, 2396 (peak years 1965–1972)
Géza Maróczy, 2362 (peak years 1905–1907)
Johannes Zukertort, 2262 (peak years 1872–1886)
Elisaveta Bykova, 2254 (peak years 1958–1960)
Louis Paulsen, 2232 (peak years 1861–1862)
Adolf Anderssen, 2214 (peak years 1861–1866)
Vera Menchik, 2155 (peak year 1929)
Mikhail Chigorin, 2144 (peak years 1889–1893)
Howard Staunton, 1976 (peak years 1843–1851)
Louis de la Bourdonnais, 1859 (peak year 1834)
Alexander McDonnell, 1704 (peak year 1834)