| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. Lutikov vs A Kovalev |
| 1-0 | 38 |
1981 |
Sokolsky mem | E76 King's Indian, Four Pawns Attack |
| 2. Chekhov vs A Kovalev |
| 1-0 | 54 |
1981 |
Sokolsky mem | E92 King's Indian |
| 3. Gelfand vs A Kovalev |
| 0-1 | 38 |
1983 |
BLR-ch | B62 Sicilian, Richter-Rauzer |
| 4. A Kovalev vs Dreev |
| 1-0 | 20 |
1986 |
Minsk (Belarus) | B05 Alekhine's Defense, Modern |
| 5. G Sagalchik vs A Kovalev |
 | 1-0 | 41 |
1987 |
USSR | E73 King's Indian |
| 6. A Kovalev vs Smirin |
| 0-1 | 39 |
1987 |
BLR-ch | B70 Sicilian, Dragon Variation |
| 7. Yurtaev vs A Kovalev |
| 0-1 | 52 |
1988 |
Ch URS (1 liga) (cat.10) | E21 Nimzo-Indian, Three Knights |
| 8. Romanishin vs A Kovalev |
| 0-1 | 33 |
1988 |
URS-FL56 Simferopol | A04 Reti Opening |
| 9. A Kovalev vs Khalifman |
| ½-½ | 14 |
1988 |
Ch URS (1 liga) (cat.10) | B58 Sicilian |
| 10. A Kovalev vs Yermolinsky |
| 1-0 | 37 |
1988 |
URS-OT56 Blagoveshchensk | B62 Sicilian, Richter-Rauzer |
| 11. K Kunze vs A Kovalev |
 | 0-1 | 9 |
1988 |
Erfurt tt | A00 Uncommon Opening |
| 12. A Kovalev vs Yermolinsky |
| 1-0 | 28 |
1988 |
Ch URS (1 liga) (cat.10) | C15 French, Winawer |
| 13. V Tukmakov vs A Kovalev |
| ½-½ | 27 |
1988 |
URS-ch FL56 | A70 Benoni, Classical with 7.Nf3 |
| 14. A Kovalev vs Dreev |
| 0-1 | 41 |
1988 |
Ch URS (1 liga) (cat.10) | C13 French |
| 15. A Kovalev vs Kupreichik |
| 1-0 | 34 |
1988 |
URS-OT56 Blagoveshchensk | C92 Ruy Lopez, Closed |
| 16. J Lechtynsky vs A Kovalev |
| 1-0 | 65 |
1989 |
Kecskemet op1 | E61 King's Indian |
| 17. E Vladimirov vs A Kovalev |
| 1-0 | 43 |
1989 |
Berlin op | E66 King's Indian, Fianchetto, Yugoslav Panno |
| 18. Kharlov vs A Kovalev |
| 0-1 | 61 |
1989 |
URS Army-chT | B22 Sicilian, Alapin |
| 19. A Kovalev vs Kazimierz Zowada |
| 1-0 | 34 |
1990 |
Katowice op | B42 Sicilian, Kan |
| 20. N Davies vs A Kovalev |
| 0-1 | 60 |
1990 |
Gausdal (Norway) | A07 King's Indian Attack |
| 21. M Brodsky vs A Kovalev |
| 0-1 | 44 |
1990 |
Bela Crkva op | B89 Sicilian |
| 22. A Kovalev vs Jansa |
 | 1-0 | 51 |
1990 |
Gausdal Peer-Gynt | B43 Sicilian, Kan, 5.Nc3 |
| 23. Chekhov vs A Kovalev |
| ½-½ | 18 |
1990 |
Peer Gynt | E94 King's Indian, Orthodox |
| 24. Kotronias vs A Kovalev |
| ½-½ | 6 |
1990 |
Gausdal | C07 French, Tarrasch |
| 25. A Kovalev vs Uhlmann |
| ½-½ | 18 |
1990 |
Porz | C18 French, Winawer |