| Career performances of 2800-2899: |
| 2829 in Blackburne-Steinitz III (London), 1876, scoring 7/7 (100%) vs 2648-rated opposition |
| 2828 in Steinitz-Zukertort II (World Championship, USA), 1886, scoring 12.5/20 (63%) vs 2757-rated opposition |
| Career performances of 2700-2799: |
| 2789 in St. Petersburg, 1895, scoring 9.5/18 (53%) vs 2787-rated opposition |
| 2786 in Martinez-Steinitz III (Philadelphia), 1883, scoring 10/11 (91%) vs 2576-rated opposition |
| 2770 in Vienna, 1898, scoring 21.5/34 (63%) vs 2660-rated opposition |
| 2763 in Vienna, 1873, scoring 12.5/15 (83%) vs 2563-rated opposition |
| 2750 in Steinitz-Zukertort I (London), 1872, scoring 9/12 (75%) vs 2624-rated opposition |
| 2750 in Vienna, 1882, scoring 18/27 (67%) vs 2623-rated opposition |
| 2748 in Lasker-Steinitz I (World Championship, USA/CAN), 1894, scoring 7/19 (37%) vs 2850-rated opposition |
| 2747 in London, 1883, scoring 18/28 (64%) vs 2635-rated opposition |
| 2740 in Chigorin-Steinitz II (World Championship, Havana), 1892, scoring 12.5/23 (54%) vs 2709-rated opposition |
| 2730 in Gunsberg-Steinitz Match (World Championship, New York), 1890, scoring 10.5/19 (55%) vs 2700-rated opposition |
| 2718 in New York, 1894, scoring 7/8 (88%) vs 2556-rated opposition |
| 2717 in Mackenzie-Steinitz Match (New York), 1883, scoring 4/6 (67%) vs 2701-rated opposition |
| 2709 in Golmayo-Steinitz II (Havana), 1888, scoring 5/5 (100%) vs 2551-rated opposition |
| 2708 in Baden-Baden, 1870, scoring 10.5/16 (66%) vs 2613-rated opposition |
| 2703 in London, 1872, scoring 4.5/5 (90%) vs 2591-rated opposition |
| 2701 in Cologne, 1898, scoring 8/12 (67%) vs 2619-rated opposition |