| # | Event | Site | Year | ELO | | | |
| 1 | 11th London Classic 2019 | London ENG | 2019 | 2808.12 |  |  |  |
| 2 | Magnus-Alireza Bullet | lichess.org INT | 2021 | 2805.5 | | | |
| 3 | Magnus-Alireza 27th Feb | lichess.org INT | 2021 | 2805.5 | | | |
| 4 | 2nd Sinquefield Cup 2014 | Saint Louis USA | 2014 | 2801.67 | | | |
| 5 | Clutch Chess Showdown Int | lichess.org INT | 2020 | 2799.55 | | | |
| 6 | 5th Norway Chess 2017 | Stavanger NOR | 2017 | 2797.2 | | | |
| 7 | 3rd Sinquefield Cup 2015 | Saint Louis USA | 2015 | 2794.6 | | | |
| 8 | Legends of Chess Final | chess24.com INT | 2020 | 2792.05 | | | |
| 9 | Carlsen Tour Final 2020 | chess24.com INT | 2020 | 2790.43 | | | |
| 10 | FTX Crypto Cup KO 2021 | chess24.com INT | 2021 | 2790.34 | | | |
| 11 | 6th Norway Chess 2018 | Stavanger NOR | 2018 | 2789.88 | | | |
| 12 | Chessable Masters Final 8 | chess24.com INT | 2020 | 2788.18 | | | |
| 13 | 5th Sinquefield Cup 2017 | Saint Louis USA | 2017 | 2787.8 | | | |
| 14 | 6th Sinquefield Cup 2018 | Saint Louis USA | 2018 | 2787.5 | | | |
| 15 | Skilling Open KO 2020 | chess24.com INT | 2020 | 2787.06 | | | |
| 16 | Magnus Carlsen Inv KO | chess24.com INT | 2021 | 2786.98 | | | |
| 17 | FIDE Candidates | London ENG | 2013 | 2786.5 | | | |
| 18 | Chessable Masters GpB | chess24.com INT | 2020 | 2786.17 | | | |
| 19 | FIDE Candidates 2018 | Berlin GER | 2018 | 2785.63 | | | |
| 20 | 8th London Classic 2016 | London ENG | 2016 | 2785.2 | | | |
| 21 | Carlsen Inv Prelim | chess24.com INT | 2020 | 2784.81 | | | |
| 22 | 7th London Classic 2015 | London ENG | 2015 | 2784.73 | | | |
| 23 | 7th Norway Armageddon | Stavanger NOR | 2019 | 2784.16 | | | |
| 24 | Clutch Champions Showdown | lichess.org INT | 2020 | 2784 | | | |
| 25 | 7th Norway Chess 2019 | Stavanger NOR | 2019 | 2783.8 | | | |
| 26 | 7th Sinquefield Cup 2019 | Saint Louis USA | 2019 | 2782.5 | | | |
| 27 | 3rd Norway Chess 2015 | Stavanger NOR | 2015 | 2781.9 | | | |
| 28 | Croatia GCT 2019 | Zagreb CRO | 2019 | 2781.75 | | | |
| 29 | 5th Final Masters | Sao Paulo/Bilbao BRA/ESP | 2012 | 2781.17 | | | |
| 30 | 10th London Classic 2018 | London ENG | 2018 | 2781 | | | |
| 31 | 4th Final Masters | Sao Paulo/Bilbao BRA/ESP | 2011 | 2780.17 | | | |
| 32 | Vugar Gashimov Mem 2014 | Shamkir AZE | 2014 | 2780.17 | | | |
| 33 | 4th Sinquefield Cup 2016 | Saint Louis USA | 2016 | 2778.6 | | | |
| 34 | 9th London Classic 2017 | London ENG | 2017 | 2778.5 | | | |
| 35 | Vugar Gashimov Mem 2019 | Shamkir AZE | 2019 | 2778.2 | | | |
| 36 | FIDE Candidates 2016 | Moscow RUS | 2016 | 2777.75 | | | |
| 37 | 9th Masters Final 2016 | Bilbao ESP | 2016 | 2777.67 | | | |
| 38 | 8th Tal Memorial | Moscow RUS | 2013 | 2777.4 | | | |
| 39 | 6th Tal Memorial | Moscow RUS | 2011 | 2776.4 | | | |
| 40 | 7th Mikhail Tal Memorial | Moscow RUS | 2012 | 2776.4 | | | |
| 41 | NIC Classic KO 2021 | chess24.com INT | 2021 | 2775.61 | | | |
| 42 | Vugar Gashimov Mem 2015 | Shamkir AZE | 2015 | 2774.1 | | | |
| 43 | 2nd Norway Chess 2014 | Stavanger NOR | 2014 | 2773.8 | | | |
| 44 | FIDE Candidates 2020 | Yekaterinburg RUS | 2020 | 2773.5 | | | |
| 45 | FIDE Candidates 2020 | Yekaterinburg RUS | 2021 | 2773.5 | | | |
| 46 | Champions Showdown G5 | Saint Louis USA | 2017 | 2772.83 | | | |
| 47 | Champions Showdown G10 | Saint Louis USA | 2017 | 2772.83 | | | |
| 48 | Airthings Masters KO 2020 | chess24.com INT | 2020 | 2771.22 | | | |
| 49 | Chessbrah Inv May 2020 | chess.com INT | 2020 | 2770.37 | | | |
| 50 | FIDE Candidates 2014 | Khanty-Mansiysk RUS | 2014 | 2770.25 | | | |
| 51 | 4th Norway Chess 2016 | Stavanger NOR | 2016 | 2770 | | | |
| 52 | chess.com Speed 3m+1spm 2018 | chess.com INT | 2018 | 2769.69 | | | |
| 53 | Grand Slam Final | Bilbao | 2008 | 2768.67 | | | |
| 54 | chess.com Speed 1m+1spm 2018 | chess.com INT | 2018 | 2768.64 | | | |
| 55 | Vugar Gashimov Mem 2018 | Shamkir AZE | 2018 | 2768 | | | |
| 56 | chess.com Speed 5m+1spm 2018 | chess.com INT | 2018 | 2767.9 | | | |
| 57 | Fujitsu Siemens Giants | Frankfurt | 2000 | 2767 | | | |
| 58 | Supreme Masters 2013 | Sandnes NOR | 2013 | 2766.4 | | | |
| 59 | 3rd Pearl Spring | Nanjing CHN | 2010 | 2766 | | | |
| 60 | 2nd Du Te Cup 2018 | Shenzhen CHN | 2018 | 2766 | | | |
| 61 | Vugar Gashimov Mem 2017 | Shamkir AZE | 2017 | 2765.1 | | | |
| 62 | World Championship 35th-KK5 | Lyon/New York | 1990 | 2765 | | | |
| 63 | Moscow Tal Memorial 4th | Moscow | 2009 | 2763.9 | | | |
| 64 | Nanjing Pearl Spring 2nd | Nanjing | 2009 | 2763.67 | | | |
| 65 | Siemens Giants | Frankfurt | 1999 | 2763.44 | | | |
| 66 | FTX Crypto Cup Prelim | chess24.com INT | 2021 | 2763.16 | | | |
| 67 | 8th Norway Chess 2020 | Stavanger NOR | 2020 | 2762.67 | | | |
| 68 | Airthings Masters Prelim | chess24.com INT | 2020 | 2761 | | | |
| 69 | chess.com Speed 1m+1spm 2017 | chess.com INT | 2017 | 2760.86 | | | |
| 70 | chess.com Speed 5m+2spm 2017 | chess.com INT | 2017 | 2760.29 | | | |
| 71 | 10th Tal Mem 2016 | Moscow RUS | 2016 | 2760 | | | |
| 72 | chess.com Speed 2019 | chess.com INT | 2020 | 2758.18 | | | |
| 73 | XXVII SuperGM | Linares ESP | 2010 | 2757.83 | | | |
| 74 | Chess24 Banter Final 2020 | chess24.com INT | 2020 | 2757.76 | | | |
| 75 | 5th Kings Tournament | Medias ROU | 2011 | 2757.33 | | | |
| 76 | Tal Memorial | Moscow RUS | 2010 | 2757.2 | | | |
| 77 | Skilling Open Prelim | chess24.com INT | 2020 | 2757.13 | | | |
| 78 | chess.com Speed 3m+2spm 2017 | chess.com INT | 2017 | 2756.97 | | | |
| 79 | Lindores Abbey Prelim | chess24.com INT | 2020 | 2756.92 | | | |
| 80 | Las Palmas | Las Palmas | 1996 | 2756.67 | | | |
| 81 | WCh Candidates | Kazan RUS | 2011 | 2756.35 | | | |
| 82 | Du Te Cup 2017 | Shenzhen CHN | 2017 | 2756.33 | | | |
| 83 | Linares 26th | Linares | 2009 | 2755.73 | | | |
| 84 | Morelia/Linares 25th | Morelia/Linares | 2008 | 2755.63 | | | |
| 85 | Renova FIDE GP Zug | Zug SUI | 2013 | 2755.58 | | | |
| 86 | KM FIDE GP 2015 | Khanty-Mansiysk RUS | 2015 | 2755.25 | | | |
| 87 | Dortmund SuperGM | Dortmund | 2001 | 2755 | | | |
| 88 | Sofia MTel Masters 5th | Sofia | 2009 | 2754.67 | | | |
| 89 | 74th Tata Steel GMA | Wijk aan Zee NED | 2012 | 2754.5 | | | |
| 90 | Lindores Abbey Final 8 | chess24.com INT | 2020 | 2754.26 | | | |
| 91 | 3rd Du Te Cup 2019 | Shenzhen CHN | 2019 | 2754.17 | | | |
| 92 | Riga FIDE Grand Prix 2019 | Riga LAT | 2019 | 2753.76 | | | |
| 93 | 11th Hainan Danzhou GM | chess.com INT | 2020 | 2753.75 | | | |
| 94 | 81st Tata Steel GpA | Wijk aan Zee NED | 2019 | 2753.07 | | | |
| 95 | Makedonia Palace GP | Thessaloniki GRE | 2013 | 2752.92 | | | |
| 96 | Tashkent FIDE GP 2014 | Tashkent UZB | 2014 | 2752.5 | | | |
| 97 | Linares 15th | Linares | 1998 | 2752.14 | | | |
| 98 | Baku FIDE Grand Prix 2014 | Baku AZE | 2014 | 2751.83 | | | |
| 99 | World Championship | Mexico City | 2007 | 2751.75 | | | |
| 100 | Linares 17th | Linares | 2000 | 2751.67 | | | |
| 101 | 4th London Chess Classic | London ENG | 2012 | 2751.67 | | | |
| 102 | Chessable Masters GpA | chess24.com INT | 2020 | 2751.67 | | | |
| 103 | FIDE GP Beijing | Beijing CHN | 2013 | 2751.42 | | | |
| 104 | Nanjing Pearl Spring | Nanjing | 2008 | 2751.17 | | | |
| 105 | 79th Tata Steel GpA | Wijk aan Zee NED | 2017 | 2751.14 | | | |
| 106 | chess.com Speed 1m+1spm 2017 | chess.com INT | 2018 | 2750.48 | | | |
| 107 | 45th Biel GM | Biel SUI | 2012 | 2750.43 | | | |
| 108 | 80th Tata Steel GpA | Wijk aan Zee NED | 2018 | 2750.29 | | | |
| 109 | Moscow FIDE Grand Prix | Moscow RUS | 2019 | 2750.24 | | | |
| 110 | 3rd GRENKE Chess Classic | Baden Baden GER | 2015 | 2749.88 | | | |
| 111 | 3rd London Chess Classic | London ENG | 2011 | 2748.11 | | | |
| 112 | Petrosian Memorial 2014 | Moscow RUS | 2014 | 2748 | | | |
| 113 | 78th Tata Steel GpA | Wijk aan Zee NED | 2016 | 2747.5 | | | |
| 114 | chess.com Speed 2020 | chess.com INT | 2020 | 2747.36 | | | |
| 115 | FIDE GP Tashkent | Tashkent UZB | 2012 | 2747.08 | | | |
| 116 | Sofia MTel Masters 1st | Sofia | 2005 | 2746.67 | | | |
| 117 | FIDE GP Paris | Elancourt FRA | 2013 | 2745.92 | | | |
| 118 | 77th Tata Steel GpA | Wijk aan Zee NED | 2015 | 2745.71 | | | |
| 119 | Morelia/Linares 24th | Morelia/Linares | 2007 | 2745.5 | | | |
| 120 | Alekhine Mem | Paris/St Petersburg FRA/RUS | 2013 | 2745.3 | | | |
| 121 | Moscow Tal Memorial 3rd | Moscow | 2008 | 2745 | | | |
| 122 | Sofia MTel Masters 2nd | Sofia | 2006 | 2744.5 | | | |
| 123 | Dortmund SuperGM | Dortmund | 2009 | 2744.17 | | | |
| 124 | Tbilisi FIDE GP 2015 | Tbilisi GEO | 2015 | 2743.67 | | | |
| 125 | Magnus Carlsen Inv Prelim | chess24.com INT | 2021 | 2743.25 | | | |
| 126 | Legends of Chess Prelim | chess24.com INT | 2020 | 2743.09 | | | |
| 127 | Linares 22nd | Linares | 2005 | 2743 | | | |
| 128 | 76th Tata Steel Masters | Wijk aan Zee NED | 2014 | 2742.75 | | | |
| 129 | Corus | Wijk aan Zee | 2008 | 2742.26 | | | |
| 130 | 4th Kings Tournament | Medias ROU | 2010 | 2741.83 | | | |
| 131 | chess.com Speed 3m+1spm 2017 | chess.com INT | 2018 | 2741.42 | | | |
| 132 | Armageddon: Chess for TV | Moscow RUS | 2019 | 2741.27 | | | |
| 133 | chess.com Speed 5m+1spm 2017 | chess.com INT | 2018 | 2741.11 | | | |
| 134 | Moscow Tal Memorial 2nd | Moscow | 2007 | 2740.8 | | | |
| 135 | 82nd Tata Steel GpA | Wijk aan Zee NED | 2020 | 2740.64 | | | |
| 136 | 51st Biel GM 2018 | Biel SUI | 2018 | 2740.33 | | | |
| 137 | 73rd Tata Steel GMA | Wijk aan Zee NED | 2011 | 2739.86 | | | |
| 138 | Jerusalem FIDE Grand Prix | Jerusalem ISR | 2019 | 2739.08 | | | |
| 139 | SportAccord Basque Men 2013 | Beijing CHN | 2013 | 2738.94 | | | |
| 140 | 1st FIDE GP London 2012 | London ENG | 2012 | 2738.75 | | | |
| 141 | FIDE-Wch | San Luis | 2005 | 2738.5 | | | |
| 142 | SportAccord Basque 2014 | Beijing CHN | 2014 | 2737.94 | | | |
| 143 | Sofia MTel Masters 4th | Sofia | 2008 | 2737.5 | | | |
| 144 | Vugar Gashimov Mem 2016 | Shamkir AZE | 2016 | 2735.7 | | | |
| 145 | GRENKE Chess Classic 2018 | KarlsruheBaden Baden GER | 2018 | 2735.5 | | | |
| 146 | Linares 16th | Linares | 1999 | 2734.99 | | | |
| 147 | ACP Cup 2013 | Riga LAT | 2013 | 2734.44 | | | |
| 148 | AZE -The World m | Baku | 2009 | 2734.31 | | | |
| 149 | FIDE Steinitz Mem Open | chess24.com INT | 2020 | 2734 | | | |
| 150 | Linares 20th | Linares | 2003 | 2732.86 | | | |
| 151 | Linares 19th | Linares | 2002 | 2732.14 | | | |
| 152 | Astana | Astana | 2001 | 2732 | | | |
| 153 | Hamburg FIDE Grand Prix | Hamburg GER | 2019 | 2731.78 | | | |
| 154 | Morelia/Linares 23rd | Morelia/Linares | 2006 | 2731.75 | | | |
| 155 | 44th GM 2016 | Dortmund GER | 2016 | 2731.63 | | | |
| 156 | 2nd IMSA Basque 2017 | Huai'an CHN | 2017 | 2731.58 | | | |
| 157 | 75th Tata Steel GpA | Wijk aan Zee NED | 2013 | 2731.57 | | | |
| 158 | Linares 21st | Linares | 2004 | 2731.43 | | | |
| 159 | 39th GM | Dortmund GER | 2011 | 2731.17 | | | |
| 160 | Pepe Cuenca Invitational | chess24.com INT | 2020 | 2730.88 | | | |
| 161 | Sparkassen GM | Dortmund GER | 2010 | 2730.67 | | | |
| 162 | chess.com Speed 2019 | chess.com INT | 2019 | 2730.21 | | | |
| 163 | Moscow Grand Prix 2017 | Moscow RUS | 2017 | 2729.83 | | | |
| 164 | 4th GRENKE Chess Classic | Karlsruhe GER | 2017 | 2729.75 | | | |
| 165 | FIDE GP | Astrakhan RUS | 2010 | 2729.5 | | | |
| 166 | Bazna Kings 3rd | Bazna | 2009 | 2729.17 | | | |
| 167 | Palma De Mallorca GP 2017 | Palma de Mallorca ESP | 2017 | 2728.06 | | | |
| 168 | Geneva Grand Prix 2017 | Geneva SUI | 2017 | 2727.61 | | | |
| 169 | 9th Hainan Danzhou GM | Danzhou CHN | 2018 | 2727.5 | | | |
| 170 | 10th Danzhou GM 2019 | Danzhou CHN | 2019 | 2727.38 | | | |
| 171 | NIC Classic Prelim 2021 | chess24.com INT | 2021 | 2727.26 | | | |
| 172 | 7th Hainan Danzhou GM | Danzhou CHN | 2016 | 2727.2 | | | |
| 173 | Moscow Tal Memorial 1st | Moscow | 2006 | 2727.11 | | | |
| 174 | Dortmund SuperGM | Dortmund | 2007 | 2726.5 | | | |
| 175 | Sofia MTel Masters 3rd | Sofia | 2007 | 2725.17 | | | |
| 176 | Nalchik FIDE GP | Nalchik | 2009 | 2725.14 | | | |
| 177 | 45th GM 2017 | Dortmund GER | 2017 | 2725.13 | | | |
| 178 | 2nd London Chess Classic | London ENG | 2010 | 2724.63 | | | |
| 179 | China vs World Team 2018 | Liaocheng CHN | 2018 | 2724.5 | | | |
| 180 | Sharjah Grand Prix 2017 | Sharjah UAE | 2017 | 2724.44 | | | |
| 181 | 83rd Tata Steel Masters | Wijk aan Zee NED | 2021 | 2724.41 | | | |
| 182 | Play for Russia Prelim | lichess.org INT | 2020 | 2724.25 | | | |
| 183 | GRENKE Chess Classic 2019 | KarlsruheBaden Baden GER | 2019 | 2724.1 | | | |
| 184 | 43rd GM 2015 | Dortmund GER | 2015 | 2724 | | | |
| 185 | World Championship 33th-KK3 | London/Leningrad | 1986 | 2722.5 | | | |
| 186 | Linares 18th | Linares | 2001 | 2721.67 | | | |
| 187 | 49th Capablanca Elite 2014 | Havana CUB | 2014 | 2721.17 | | | |
| 188 | Corus | Wijk aan Zee | 2005 | 2720.79 | | | |
| 189 | 48th Biel GM 2015 | Biel SUI | 2015 | 2720.33 | | | |
| 190 | Cap D'Agde-A | Cap d'Agde | 2003 | 2720.13 | | | |
| 191 | World Championship 34th-KK4 | Seville | 1987 | 2720 | | | |
| 192 | Dortmund SuperGM | Dortmund | 2006 | 2720 | | | |
| 193 | Zurich Korchnoi CC 2017 | Zurich SUI | 2017 | 2719.63 | | | |
| 194 | 8th Danzhou Super GM 2017 | Danzhou CHN | 2017 | 2719.6 | | | |
| 195 | 46th GM 2018 | Dortmund GER | 2018 | 2719.5 | | | |
| 196 | Corus A | Wijk aan Zee NED | 2010 | 2719.29 | | | |
| 197 | Cap D'Agde-B | Cap d'Agde | 2003 | 2719.25 | | | |
| 198 | Yerevan Asrian Memorial | Yerevan | 2008 | 2719.25 | | | |
| 199 | Novgorod | Novgorod | 1997 | 2719.17 | | | |
| 200 | Jermuk FIDE GP | Jermuk | 2009 | 2718.86 | | | |