| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. A Kochyev vs V Tukmakov |
 | 1-0 | 29 |
1972 |
URS-ch sf | B81 Sicilian, Scheveningen, Keres Attack |
| 2. A Kochyev vs Beliavsky |
| 0-1 | 41 |
1974 |
URS-ch sf | B52 Sicilian, Canal-Sokolsky (Rossolimo) Attack |
| 3. A Kochyev vs Miles |
 | 0-1 | 46 |
1974 |
Manila | B76 Sicilian, Dragon, Yugoslav Attack |
| 4. A Kochyev vs Chekhov |
| 1-0 | 42 |
1974 |
Lvov U18 | A15 English |
| 5. A Kochyev vs E Vladimirov |
| 1-0 | 41 |
1975 |
Sochi U20 | E66 King's Indian, Fianchetto, Yugoslav Panno |
| 6. A Kochyev vs Chekhov |
| 1-0 | 33 |
1975 |
Sochi U20 | A49 King's Indian, Fianchetto without c4 |
| 7. Yurtaev vs A Kochyev |
| 0-1 | 69 |
1976 |
URS 21/353 | B89 Sicilian |
| 8. Beliavsky vs A Kochyev |
| ½-½ | 24 |
1976 |
URS-ch FL44 | B83 Sicilian |
| 9. A Kochyev vs Chekhov |
| ½-½ | 35 |
1976 |
URS-ch YM | B06 Robatsch |
| 10. Tseshkovsky vs A Kochyev |
| 1-0 | 73 |
1976 |
URS-ch FL44 | B85 Sicilian, Scheveningen, Classical |
| 11. G Kuzmin vs A Kochyev |
 | 1-0 | 35 |
1976 |
URS-ch FL44 | D94 Grunfeld |
| 12. A Kochyev vs Tal |
| ½-½ | 21 |
1977 |
Leningrad URS ch | A04 Reti Opening |
| 13. Beliavsky vs A Kochyev |
| ½-½ | 41 |
1977 |
URS-ch FL45 | A54 Old Indian, Ukrainian Variation, 4.Nf3 |
| 14. Razuvaev vs A Kochyev |
| 0-1 | 41 |
1977 |
URS-ch FL45 | B42 Sicilian, Kan |
| 15. A Kochyev vs K Grigorian |
| ½-½ | 57 |
1977 |
URS-ch45 | A07 King's Indian Attack |
| 16. A Kochyev vs Smyslov |
| 1-0 | 40 |
1977 |
Ch URS ( cat. 12 ), Leningrad | B10 Caro-Kann |
| 17. A Kochyev vs Gheorghiu |
| ½-½ | 16 |
1977 |
Le Havre | C42 Petrov Defense |
| 18. A Kochyev vs Bagirov |
| ½-½ | 19 |
1977 |
14, Baku | D11 Queen's Gambit Declined Slav |
| 19. Taimanov vs A Kochyev |
| ½-½ | 21 |
1977 |
Baku | C42 Petrov Defense |
| 20. Vaganian vs A Kochyev |
| ½-½ | 25 |
1977 |
October Revolution 60th Anniversary | E76 King's Indian, Four Pawns Attack |
| 21. Matulovic vs A Kochyev |
| ½-½ | 38 |
1977 |
Dortmund | B44 Sicilian |
| 22. A Kochyev vs Tseshkovsky |
| ½-½ | 32 |
1977 |
URS-ch FL45 | D76 Neo-Grunfeld, 6.cd Nxd5, 7.O-O Nb6 |
| 23. Geller vs A Kochyev |
| ½-½ | 14 |
1977 |
Leningrad | D79 Neo-Grunfeld, 6.O-O, Main line |
| 24. A Kochyev vs M Knezevic |
| 1-0 | 69 |
1977 |
October Revolution 60th Anniversary | A80 Dutch |
| 25. Ribli vs A Kochyev |
| 0-1 | 38 |
1977 |
October Revolution 60th Anniversary | E92 King's Indian |