| Career performances of 2800-2899: |
| 2824 in Zurich (Candidates), 1953, scoring 18/28 (64%) vs 2719-rated opposition |
| 2802 in Botvinnik-Smyslov II (World Championship, Moscow), 1957, scoring 12.5/22 (57%) vs 2762-rated opposition |
| Career performances of 2700-2799: |
| 2790 in Amsterdam (Candidates), 1956, scoring 11.5/18 (64%) vs 2711-rated opposition |
| 2780 in Garga (URS Training), 1953, scoring 7.5/10 (75%) vs 2679-rated opposition |
| 2777 in The Hague/Moscow (World Championship), 1948, scoring 11/20 (55%) vs 2752-rated opposition |
| 2776 in Moscow (Alekhine Memorial), 1956, scoring 11/15 (73%) vs 2644-rated opposition |
| 2776 in Botvinnik-Smyslov I (World Championship, Moscow), 1954, scoring 12/24 (50%) vs 2779-rated opposition |
| 2769 in Zagreb, 1955, scoring 13.5/18 (75%) vs 2610-rated opposition |
| 2768 in Helsinki ol (Men), 1952, scoring 9.5/11 (86%) vs 2584-rated opposition |
| 2768 in Amsterdam (Interzonal), 1964, scoring 15/21 (71%) vs 2623-rated opposition |
| 2762 in Budapest-Moscow, 1949, scoring 10.5/13 (81%) vs 2593-rated opposition |
| 2753 in Moscow (Alekhine Memorial), 1963, scoring 11.5/15 (77%) vs 2596-rated opposition |
| 2749 in Moscow (Alekhine Memorial), 1971, scoring 10.5/17 (62%) vs 2683-rated opposition |
| 2748 in Bled/Zagreb/Belgrade (Candidates), 1959, scoring 15/28 (54%) vs 2717-rated opposition |
| 2747 in Groningen (Staunton Memorial), 1946, scoring 11/16 (69%) vs 2637-rated opposition |
| 2744 in Budapest (Candidates), 1950, scoring 10/18 (56%) vs 2717-rated opposition |
| 2737 in Hastings, 1954, scoring 7/9 (78%) vs 2621-rated opposition |
| 2736 in Moscow (URS Championship), 1940, scoring 12.5/18 (69%) vs 2612-rated opposition |
| 2736 in Palma de Mallorca, 1967, scoring 12.5/17 (74%) vs 2587-rated opposition |
| 2736 in Mar del Plata, 1966, scoring 11/15 (73%) vs 2598-rated opposition |
| 2735 in Moscow, 1960, scoring 8.5/11 (77%) vs 2601-rated opposition |
| 2735 in Ribli-Smyslov Match (Candidates semifinal, London), 1983, scoring 6.5/11 (59%) vs 2713-rated opposition |
| 2734 in Moscow, 1981, scoring 7.5/13 (58%) vs 2710-rated opposition |
| 2733 in Leningrad, 1977, scoring 10.5/17 (62%) vs 2664-rated opposition |
| 2733 in Moscow (Chigorin Memorial), 1947, scoring 9.5/14 (68%) vs 2636-rated opposition |
| 2732 in Moscow, 1967, scoring 10/17 (59%) vs 2684-rated opposition |
| 2731 in Petropolis (Interzonal), 1973, scoring 11/17 (65%) vs 2643-rated opposition |
| 2731 in Havana (Capablanca Memorial), 1965, scoring 15.5/21 (74%) vs 2564-rated opposition |
| 2730 in Moscow (URS Championship), 1949, scoring 12.5/18 (69%) vs 2604-rated opposition |
| 2728 in Las Palmas (Interzonal), 1982, scoring 8.5/13 (65%) vs 2652-rated opposition |
| 2727 in Leningrad (URS Championship), 1971, scoring 13.5/21 (64%) vs 2628-rated opposition |
| 2726 in Moscow (URS Championship), 1969, scoring 13/21 (62%) vs 2643-rated opposition |
| 2721 in Leningrad, 1951, scoring 9/10 (90%) vs 2517-rated opposition |
| 2720 in Kasparov-Smyslov Match (Candidates final, Vilnius), 1984, scoring 4.5/13 (35%) vs 2843-rated opposition |
| 2719 in Bucharest, 1953, scoring 11.5/16 (72%) vs 2584-rated opposition |
| 2718 in Monte Carlo, 1969, scoring 8/11 (73%) vs 2608-rated opposition |
| 2717 in Botvinnik-Smyslov III (World Championship, Moscow), 1958, scoring 10.5/23 (46%) vs 2747-rated opposition |
| 2714 in Budapest, 1952, scoring 11/17 (65%) vs 2623-rated opposition |
| 2714 in Moscow (URS Championship), 1951, scoring 10/16 (63%) vs 2642-rated opposition |
| 2714 in Moscow (URS Championship), 1955, scoring 15/26 (58%) vs 2651-rated opposition |
| 2714 in URS-chT Moscow, 1966, scoring 6/11 (55%) vs 2716-rated opposition |
| 2713 in Rovinj/Zagreb, 1970, scoring 11/17 (65%) vs 2622-rated opposition |
| 2713 in Moscow (Championship), 1945, scoring 5/6 (83%) vs 2611-rated opposition |
| 2713 in Havana (Capablanca Memorial), 1964, scoring 14/19 (74%) vs 2551-rated opposition |
| 2712 in Palma de Mallorca (Interzonal), 1970, scoring 13.5/23 (59%) vs 2647-rated opposition |
| 2708 in Moscow (URS Championship), 1961, scoring 10/17 (59%) vs 2657-rated opposition |
| 2706 in Leningrad (URS Championship), 1947, scoring 9/14 (64%) vs 2629-rated opposition |
| 2706 in Biel (Interzonal), 1976, scoring 11.5/19 (61%) vs 2636-rated opposition |
| 2705 in Leningrad/Moscow (Absolute Championship), 1941, scoring 10/20 (50%) vs 2707-rated opposition |
| 2704 in Tilburg, 1982, scoring 6/11 (55%) vs 2705-rated opposition |
| 2703 in Moscow (URS Championship), 1950, scoring 9/14 (64%) vs 2626-rated opposition |
| 2703 in Monte Carlo, 1967, scoring 5/7 (71%) vs 2642-rated opposition |
| 2702 in Amsterdam, 1981, scoring 6.5/11 (59%) vs 2674-rated opposition |
| 2700 in Lugano ol (Men), 1968, scoring 9/10 (90%) vs 2490-rated opposition |
| 2700 in Amsterdam (IBM), 1971, scoring 10/15 (67%) vs 2601-rated opposition |