| Career performances of 2800-2899: |
| 2833 in New York, 1918, scoring 6/6 (100%) vs 2682-rated opposition |
| 2827 in New York, 1927, scoring 14/20 (70%) vs 2703-rated opposition |
| 2819 in St. Petersburg, 1914, scoring 11/16 (69%) vs 2720-rated opposition |
| 2817 in Capablanca-Kostic Match (Havana), 1919, scoring 5/5 (100%) vs 2696-rated opposition |
| Career performances of 2700-2799: |
| 2792 in Berlin, 1928, scoring 9.5/13 (73%) vs 2678-rated opposition |
| 2792 in New York, 1924, scoring 13/18 (72%) vs 2655-rated opposition |
| 2788 in Capablanca-Marshall Match (New York), 1909, scoring 15/23 (65%) vs 2684-rated opposition |
| 2787 in Moscow, 1936, scoring 13/18 (72%) vs 2650-rated opposition |
| 2781 in San Sebastian, 1911, scoring 9/13 (69%) vs 2690-rated opposition |
| 2770 in Karlsbad, 1929, scoring 14/20 (70%) vs 2638-rated opposition |
| 2760 in Moscow, 1925, scoring 10/14 (71%) vs 2645-rated opposition |
| 2754 in Nottingham, 1936, scoring 10/14 (71%) vs 2638-rated opposition |
| 2751 in London, 1922, scoring 7/9 (78%) vs 2639-rated opposition |
| 2746 in Budapest, 1929, scoring 10.5/13 (81%) vs 2574-rated opposition |
| 2744 in Alekhine-Capablanca Match (World Championship, Buenos Aires), 1927, scoring 15.5/34 (46%) vs 2766-rated opposition |
| 2732 in Capablanca-Euwe Match (Amsterdam), 1931, scoring 6/10 (60%) vs 2712-rated opposition |
| 2726 in New York, 1915, scoring 7/8 (88%) vs 2566-rated opposition |
| 2710 in New York, 1916, scoring 14/17 (82%) vs 2497-rated opposition |
| 2709 in Bad Kissingen, 1928, scoring 7/11 (64%) vs 2654-rated opposition |
