| # | Event | Site | Year | ELO | | | |
| 1 | 11th London Classic 2019 | London ENG | 2019 | 2808.12 |  |  |  |
| 2 | 2nd Sinquefield Cup 2014 | Saint Louis USA | 2014 | 2801.67 | | | |
| 3 | 5th Norway Chess 2017 | Stavanger NOR | 2017 | 2797.2 | | | |
| 4 | 3rd Sinquefield Cup 2015 | Saint Louis USA | 2015 | 2794.6 | | | |
| 5 | 6th Norway Chess 2018 | Stavanger NOR | 2018 | 2789.88 | | | |
| 6 | 5th Sinquefield Cup 2017 | Saint Louis USA | 2017 | 2787.8 | | | |
| 7 | 6th Sinquefield Cup 2018 | Saint Louis USA | 2018 | 2787.5 | | | |
| 8 | FIDE Candidates | London ENG | 2013 | 2786.5 | | | |
| 9 | FIDE Candidates 2018 | Berlin GER | 2018 | 2785.63 | | | |
| 10 | 8th London Classic 2016 | London ENG | 2016 | 2785.2 | | | |
| 11 | 7th London Classic 2015 | London ENG | 2015 | 2784.73 | | | |
| 12 | 7th Norway Armageddon | Stavanger NOR | 2019 | 2784.16 | | | |
| 13 | 7th Norway Chess 2019 | Stavanger NOR | 2019 | 2783.8 | | | |
| 14 | 7th Sinquefield Cup 2019 | Saint Louis USA | 2019 | 2782.5 | | | |
| 15 | 3rd Norway Chess 2015 | Stavanger NOR | 2015 | 2781.9 | | | |
| 16 | Croatia GCT 2019 | Zagreb CRO | 2019 | 2781.75 | | | |
| 17 | 5th Final Masters | Sao Paulo/Bilbao BRA/ESP | 2012 | 2781.17 | | | |
| 18 | 10th London Classic 2018 | London ENG | 2018 | 2781 | | | |
| 19 | 4th Final Masters | Sao Paulo/Bilbao BRA/ESP | 2011 | 2780.17 | | | |
| 20 | Vugar Gashimov Mem 2014 | Shamkir AZE | 2014 | 2780.17 | | | |
| 21 | 4th Sinquefield Cup 2016 | Saint Louis USA | 2016 | 2778.6 | | | |
| 22 | 9th London Classic 2017 | London ENG | 2017 | 2778.5 | | | |
| 23 | Vugar Gashimov Mem 2019 | Shamkir AZE | 2019 | 2778.2 | | | |
| 24 | FIDE Candidates 2016 | Moscow RUS | 2016 | 2777.75 | | | |
| 25 | 9th Masters Final 2016 | Bilbao ESP | 2016 | 2777.67 | | | |
| 26 | 8th Tal Memorial | Moscow RUS | 2013 | 2777.4 | | | |
| 27 | 6th Tal Memorial | Moscow RUS | 2011 | 2776.4 | | | |
| 28 | 7th Mikhail Tal Memorial | Moscow RUS | 2012 | 2776.4 | | | |
| 29 | Vugar Gashimov Mem 2015 | Shamkir AZE | 2015 | 2774.1 | | | |
| 30 | 2nd Norway Chess 2014 | Stavanger NOR | 2014 | 2773.8 | | | |
| 31 | Champions Showdown G5 | Saint Louis USA | 2017 | 2772.83 | | | |
| 32 | Champions Showdown G10 | Saint Louis USA | 2017 | 2772.83 | | | |
| 33 | FIDE Candidates 2014 | Khanty-Mansiysk RUS | 2014 | 2770.25 | | | |
| 34 | 4th Norway Chess 2016 | Stavanger NOR | 2016 | 2770 | | | |
| 35 | chess.com Speed 3m+1spm 2018 | chess.com INT | 2018 | 2769.69 | | | |
| 36 | Grand Slam Final | Bilbao | 2008 | 2768.67 | | | |
| 37 | chess.com Speed 1m+1spm 2018 | chess.com INT | 2018 | 2768.64 | | | |
| 38 | Vugar Gashimov Mem 2018 | Shamkir AZE | 2018 | 2768 | | | |
| 39 | chess.com Speed 5m+1spm 2018 | chess.com INT | 2018 | 2767.9 | | | |
| 40 | Fujitsu Siemens Giants | Frankfurt | 2000 | 2767 | | | |
| 41 | Supreme Masters 2013 | Sandnes NOR | 2013 | 2766.4 | | | |
| 42 | 3rd Pearl Spring | Nanjing CHN | 2010 | 2766 | | | |
| 43 | 2nd Du Te Cup 2018 | Shenzhen CHN | 2018 | 2766 | | | |
| 44 | Vugar Gashimov Mem 2017 | Shamkir AZE | 2017 | 2765.1 | | | |
| 45 | World Championship 35th-KK5 | Lyon/New York | 1990 | 2765 | | | |
| 46 | Moscow Tal Memorial 4th | Moscow | 2009 | 2763.9 | | | |
| 47 | Nanjing Pearl Spring 2nd | Nanjing | 2009 | 2763.67 | | | |
| 48 | Siemens Giants | Frankfurt | 1999 | 2763.44 | | | |
| 49 | chess.com Speed 1m+1spm 2017 | chess.com INT | 2017 | 2760.86 | | | |
| 50 | chess.com Speed 2019 | chess.com INT | 2020 | 2760.5 | | | |
| 51 | chess.com Speed 5m+2spm 2017 | chess.com INT | 2017 | 2760.29 | | | |
| 52 | 10th Tal Mem 2016 | Moscow RUS | 2016 | 2760 | | | |
| 53 | XXVII SuperGM | Linares ESP | 2010 | 2757.83 | | | |
| 54 | 5th Kings Tournament | Medias ROU | 2011 | 2757.33 | | | |
| 55 | Tal Memorial | Moscow RUS | 2010 | 2757.2 | | | |
| 56 | chess.com Speed 3m+2spm 2017 | chess.com INT | 2017 | 2756.97 | | | |
| 57 | Las Palmas | Las Palmas | 1996 | 2756.67 | | | |
| 58 | WCh Candidates | Kazan RUS | 2011 | 2756.35 | | | |
| 59 | Du Te Cup 2017 | Shenzhen CHN | 2017 | 2756.33 | | | |
| 60 | Linares 26th | Linares | 2009 | 2755.73 | | | |
| 61 | Morelia/Linares 25th | Morelia/Linares | 2008 | 2755.63 | | | |
| 62 | Renova FIDE GP Zug | Zug SUI | 2013 | 2755.58 | | | |
| 63 | KM FIDE GP 2015 | Khanty-Mansiysk RUS | 2015 | 2755.25 | | | |
| 64 | Dortmund SuperGM | Dortmund | 2001 | 2755 | | | |
| 65 | Sofia MTel Masters 5th | Sofia | 2009 | 2754.67 | | | |
| 66 | 74th Tata Steel GMA | Wijk aan Zee NED | 2012 | 2754.5 | | | |
| 67 | 3rd Du Te Cup 2019 | Shenzhen CHN | 2019 | 2754.17 | | | |
| 68 | Riga FIDE Grand Prix 2019 | Riga LAT | 2019 | 2753.76 | | | |
| 69 | 81st Tata Steel GpA | Wijk aan Zee NED | 2019 | 2753.07 | | | |
| 70 | Makedonia Palace GP | Thessaloniki GRE | 2013 | 2752.92 | | | |
| 71 | Tashkent FIDE GP 2014 | Tashkent UZB | 2014 | 2752.5 | | | |
| 72 | Linares 15th | Linares | 1998 | 2752.14 | | | |
| 73 | Baku FIDE Grand Prix 2014 | Baku AZE | 2014 | 2751.83 | | | |
| 74 | World Championship | Mexico City | 2007 | 2751.75 | | | |
| 75 | Linares 17th | Linares | 2000 | 2751.67 | | | |
| 76 | 4th London Chess Classic | London ENG | 2012 | 2751.67 | | | |
| 77 | FIDE GP Beijing | Beijing CHN | 2013 | 2751.42 | | | |
| 78 | Nanjing Pearl Spring | Nanjing | 2008 | 2751.17 | | | |
| 79 | 79th Tata Steel GpA | Wijk aan Zee NED | 2017 | 2751.14 | | | |
| 80 | chess.com Speed 1m+1spm 2017 | chess.com INT | 2018 | 2750.48 | | | |
| 81 | 45th Biel GM | Biel SUI | 2012 | 2750.43 | | | |
| 82 | 80th Tata Steel GpA | Wijk aan Zee NED | 2018 | 2750.29 | | | |
| 83 | Moscow FIDE Grand Prix | Moscow RUS | 2019 | 2750.24 | | | |
| 84 | 3rd GRENKE Chess Classic | Baden Baden GER | 2015 | 2749.88 | | | |
| 85 | 3rd London Chess Classic | London ENG | 2011 | 2748.11 | | | |
| 86 | Petrosian Memorial 2014 | Moscow RUS | 2014 | 2748 | | | |
| 87 | 78th Tata Steel GpA | Wijk aan Zee NED | 2016 | 2747.5 | | | |
| 88 | FIDE GP Tashkent | Tashkent UZB | 2012 | 2747.08 | | | |
| 89 | Sofia MTel Masters 1st | Sofia | 2005 | 2746.67 | | | |
| 90 | FIDE GP Paris | Elancourt FRA | 2013 | 2745.92 | | | |
| 91 | 77th Tata Steel GpA | Wijk aan Zee NED | 2015 | 2745.71 | | | |
| 92 | Morelia/Linares 24th | Morelia/Linares | 2007 | 2745.5 | | | |
| 93 | Alekhine Mem | Paris/St Petersburg FRA/RUS | 2013 | 2745.3 | | | |
| 94 | Moscow Tal Memorial 3rd | Moscow | 2008 | 2745 | | | |
| 95 | Sofia MTel Masters 2nd | Sofia | 2006 | 2744.5 | | | |
| 96 | Dortmund SuperGM | Dortmund | 2009 | 2744.17 | | | |
| 97 | Tbilisi FIDE GP 2015 | Tbilisi GEO | 2015 | 2743.67 | | | |
| 98 | Linares 22nd | Linares | 2005 | 2743 | | | |
| 99 | 76th Tata Steel Masters | Wijk aan Zee NED | 2014 | 2742.75 | | | |
| 100 | Corus | Wijk aan Zee | 2008 | 2742.26 | | | |
| 101 | 4th Kings Tournament | Medias ROU | 2010 | 2741.83 | | | |
| 102 | chess.com Speed 3m+1spm 2017 | chess.com INT | 2018 | 2741.42 | | | |
| 103 | Armageddon: Chess for TV | Moscow RUS | 2019 | 2741.27 | | | |
| 104 | chess.com Speed 5m+1spm 2017 | chess.com INT | 2018 | 2741.11 | | | |
| 105 | Moscow Tal Memorial 2nd | Moscow | 2007 | 2740.8 | | | |
| 106 | 82nd Tata Steel GpA | Wijk aan Zee NED | 2020 | 2740.64 | | | |
| 107 | 51st Biel GM 2018 | Biel SUI | 2018 | 2740.33 | | | |
| 108 | 73rd Tata Steel GMA | Wijk aan Zee NED | 2011 | 2739.86 | | | |
| 109 | Jerusalem FIDE Grand Prix | Jerusalem ISR | 2019 | 2739.08 | | | |
| 110 | SportAccord Basque Men 2013 | Beijing CHN | 2013 | 2738.94 | | | |
| 111 | 1st FIDE GP London 2012 | London ENG | 2012 | 2738.75 | | | |
| 112 | FIDE-Wch | San Luis | 2005 | 2738.5 | | | |
| 113 | SportAccord Basque 2014 | Beijing CHN | 2014 | 2737.94 | | | |
| 114 | Sofia MTel Masters 4th | Sofia | 2008 | 2737.5 | | | |
| 115 | Vugar Gashimov Mem 2016 | Shamkir AZE | 2016 | 2735.7 | | | |
| 116 | GRENKE Chess Classic 2018 | KarlsruheBaden Baden GER | 2018 | 2735.5 | | | |
| 117 | Linares 16th | Linares | 1999 | 2734.99 | | | |
| 118 | ACP Cup 2013 | Riga LAT | 2013 | 2734.44 | | | |
| 119 | AZE -The World m | Baku | 2009 | 2734.31 | | | |
| 120 | Linares 20th | Linares | 2003 | 2732.86 | | | |
| 121 | Linares 19th | Linares | 2002 | 2732.14 | | | |
| 122 | Astana | Astana | 2001 | 2732 | | | |
| 123 | Hamburg FIDE Grand Prix | Hamburg GER | 2019 | 2731.78 | | | |
| 124 | Morelia/Linares 23rd | Morelia/Linares | 2006 | 2731.75 | | | |
| 125 | 44th GM 2016 | Dortmund GER | 2016 | 2731.63 | | | |
| 126 | 2nd IMSA Basque 2017 | Huai'an CHN | 2017 | 2731.58 | | | |
| 127 | 75th Tata Steel GpA | Wijk aan Zee NED | 2013 | 2731.57 | | | |
| 128 | Linares 21st | Linares | 2004 | 2731.43 | | | |
| 129 | 39th GM | Dortmund GER | 2011 | 2731.17 | | | |
| 130 | Sparkassen GM | Dortmund GER | 2010 | 2730.67 | | | |
| 131 | chess.com Speed 2019 | chess.com INT | 2019 | 2730.21 | | | |
| 132 | Moscow Grand Prix 2017 | Moscow RUS | 2017 | 2729.83 | | | |
| 133 | 4th GRENKE Chess Classic | Karlsruhe GER | 2017 | 2729.75 | | | |
| 134 | FIDE GP | Astrakhan RUS | 2010 | 2729.5 | | | |
| 135 | Bazna Kings 3rd | Bazna | 2009 | 2729.17 | | | |
| 136 | Palma De Mallorca GP 2017 | Palma de Mallorca ESP | 2017 | 2728.06 | | | |
| 137 | Geneva Grand Prix 2017 | Geneva SUI | 2017 | 2727.61 | | | |
| 138 | 9th Hainan Danzhou GM | Danzhou CHN | 2018 | 2727.5 | | | |
| 139 | 10th Danzhou GM 2019 | Danzhou CHN | 2019 | 2727.38 | | | |
| 140 | 7th Hainan Danzhou GM | Danzhou CHN | 2016 | 2727.2 | | | |
| 141 | Moscow Tal Memorial 1st | Moscow | 2006 | 2727.11 | | | |
| 142 | Dortmund SuperGM | Dortmund | 2007 | 2726.5 | | | |
| 143 | Sofia MTel Masters 3rd | Sofia | 2007 | 2725.17 | | | |
| 144 | Nalchik FIDE GP | Nalchik | 2009 | 2725.14 | | | |
| 145 | 45th GM 2017 | Dortmund GER | 2017 | 2725.13 | | | |
| 146 | 2nd London Chess Classic | London ENG | 2010 | 2724.63 | | | |
| 147 | China vs World Team 2018 | Liaocheng CHN | 2018 | 2724.5 | | | |
| 148 | Sharjah Grand Prix 2017 | Sharjah UAE | 2017 | 2724.44 | | | |
| 149 | GRENKE Chess Classic 2019 | KarlsruheBaden Baden GER | 2019 | 2724.1 | | | |
| 150 | 43rd GM 2015 | Dortmund GER | 2015 | 2724 | | | |
| 151 | World Championship 33th-KK3 | London/Leningrad | 1986 | 2722.5 | | | |
| 152 | Linares 18th | Linares | 2001 | 2721.67 | | | |
| 153 | 49th Capablanca Elite 2014 | Havana CUB | 2014 | 2721.17 | | | |
| 154 | Corus | Wijk aan Zee | 2005 | 2720.79 | | | |
| 155 | 48th Biel GM 2015 | Biel SUI | 2015 | 2720.33 | | | |
| 156 | Cap D'Agde-A | Cap d'Agde | 2003 | 2720.13 | | | |
| 157 | World Championship 34th-KK4 | Seville | 1987 | 2720 | | | |
| 158 | Dortmund SuperGM | Dortmund | 2006 | 2720 | | | |
| 159 | Zurich Korchnoi CC 2017 | Zurich SUI | 2017 | 2719.63 | | | |
| 160 | 8th Danzhou Super GM 2017 | Danzhou CHN | 2017 | 2719.6 | | | |
| 161 | 46th GM 2018 | Dortmund GER | 2018 | 2719.5 | | | |
| 162 | Corus A | Wijk aan Zee NED | 2010 | 2719.29 | | | |
| 163 | Cap D'Agde-B | Cap d'Agde | 2003 | 2719.25 | | | |
| 164 | Yerevan Asrian Memorial | Yerevan | 2008 | 2719.25 | | | |
| 165 | Novgorod | Novgorod | 1997 | 2719.17 | | | |
| 166 | Jermuk FIDE GP | Jermuk | 2009 | 2718.86 | | | |
| 167 | IMSA Basque 2016 | Huai'an CHN | 2016 | 2718.75 | | | |
| 168 | Corus | Wijk aan Zee | 2007 | 2718.09 | | | |
| 169 | Novgorod | Novgorod | 1994 | 2717.83 | | | |
| 170 | Baku FIDE GP | Baku | 2008 | 2717.29 | | | |
| 171 | Hans Suri Mem 2014 | Biel SUI | 2014 | 2717 | | | |
| 172 | Cap d'Agde CCAS Trophee KO | Cap d'Agde | 2008 | 2716.58 | | | |
| 173 | Corus | Wijk aan Zee | 2009 | 2716.07 | | | |
| 174 | Biel GM 42nd | Biel | 2009 | 2716 | | | |
| 175 | Corus | Wijk aan Zee | 2006 | 2715.79 | | | |
| 176 | 50th Capablanca Mem Elite | Havana CUB | 2015 | 2715.67 | | | |
| 177 | 1st Prague Masters 2019 | Prague CZE | 2019 | 2715.3 | | | |
| 178 | 64th ch-RUS | Moscow RUS | 2011 | 2715.25 | | | |
| 179 | 42nd GM 2014 | Dortmund GER | 2014 | 2715.25 | | | |
| 180 | Dos Hermanas | Dos Hermanas | 1996 | 2714.5 | | | |
| 181 | 1st GRENKE Chess Classic | Baden-Baden GER | 2013 | 2714.17 | | | |
| 182 | Elista FIDE GP | Elista | 2008 | 2712.86 | | | |
| 183 | World Cup ACP 3rd | Odessa | 2009 | 2712.42 | | | |
| 184 | Novgorod | Novgorod | 1996 | 2712.33 | | | |
| 185 | 67th ch-RUS 2014 | Kazan RUS | 2014 | 2712.3 | | | |
| 186 | World Cup ACP 2nd | Odessa | 2008 | 2712.06 | | | |
| 187 | 46th Capablanca Memorial Elite | Havana CUB | 2011 | 2711.83 | | | |
| 188 | Foros Aerosvit 3rd | Foros | 2008 | 2711.74 | | | |
| 189 | 40th GM | Dortmund GER | 2012 | 2711.1 | | | |
| 190 | World Championship 31th-KK1 | Moscow | 1984 | 2710 | | | |
| 191 | World Championship 32th-KK2 | Moscow | 1985 | 2710 | | | |
| 192 | World Cup ACP 1st | Odessa | 2007 | 2709.72 | | | |
| 193 | Corus | Wijk aan Zee | 2001 | 2709.48 | | | |
| 194 | Breisacher Memorial | Biel SUI | 2013 | 2709.33 | | | |
| 195 | Dortmund SuperGM | Dortmund | 2005 | 2709 | | | |
| 196 | 41st GM | Dortmund GER | 2013 | 2709 | | | |
| 197 | Biel ACCENTUS GM | Biel SUI | 2011 | 2708.67 | | | |
| 198 | Sochi FIDE GP | Sochi | 2008 | 2708.36 | | | |
| 199 | Wch Candidates final | Elista | 2007 | 2708.32 | | | |
| 200 | Governor's Cup | Saratov RUS | 2011 | 2707.17 | | | |