| 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 Miles |
 | 0-1 | 46 |
1974 |
Manila | B76 Sicilian, Dragon, Yugoslav Attack |
| 3. A Kochyev vs Chekhov |
| 1-0 | 42 |
1974 |
Lvov U18 | E60 King's Indian Defense |
| 4. A Kochyev vs Chekhov |
| 1-0 | 33 |
1975 |
Sochi U20 | A49 King's Indian, Fianchetto without c4 |
| 5. A Kochyev vs E Vladimirov |
| 1-0 | 41 |
1975 |
Sochi U20 | E66 King's Indian, Fianchetto, Yugoslav Panno |
| 6. Tseshkovsky vs A Kochyev |
| 1-0 | 73 |
1976 |
URS-ch FL44 | B85 Sicilian, Scheveningen, Classical |
| 7. Yurtaev vs A Kochyev |
| 0-1 | 69 |
1976 |
URS 21/353 | B89 Sicilian |
| 8. A Kochyev vs Chekhov |
| ½-½ | 35 |
1976 |
URS-ch YM | B06 Robatsch |
| 9. Matulovic vs A Kochyev |
| ½-½ | 69 |
1977 |
Le Havre | B42 Sicilian, Kan |
| 10. Razuvaev vs A Kochyev |
| 0-1 | 41 |
1977 |
URS-ch FL45 | B42 Sicilian, Kan |
| 11. V Tukmakov vs A Kochyev |
| 1-0 | 47 |
1977 |
URS-ch FL45 | E68 King's Indian, Fianchetto, Classical Variation, 8.e4 |
| 12. A Kochyev vs Smejkal |
| 1-0 | 34 |
1977 |
October Revolution 60 | A34 English, Symmetrical |
| 13. A Kochyev vs Romanishin |
| 0-1 | 40 |
1977 |
Leningrad 24/170 | B06 Robatsch |
| 14. A Kochyev vs Bagirov |
| ½-½ | 25 |
1977 |
2, Leningrad URS ch | A13 English |
| 15. Smejkal vs A Kochyev |
| ½-½ | 35 |
1977 |
Dortmund | E96 King's Indian, Orthodox, 7...Nbd7, Main line |
| 16. A Kochyev vs S Mariotti |
| ½-½ | 19 |
1977 |
It ( cat. 13 ) | A15 English |
| 17. A Kochyev vs Romanishin |
| 0-1 | 46 |
1977 |
Leningrad | A13 English |
| 18. Smyslov vs A Kochyev |
| ½-½ | 14 |
1977 |
It ( cat. 13 ), Leningrad | D97 Grunfeld, Russian |
| 19. A Kochyev vs Bagirov |
| ½-½ | 19 |
1977 |
14, Baku | D11 Queen's Gambit Declined Slav |
| 20. Taimanov vs A Kochyev |
| 0-1 | 35 |
1977 |
Leningrad | A16 English |
| 21. Polugaevsky vs A Kochyev |
| ½-½ | 41 |
1977 |
URS-ch39 | E96 King's Indian, Orthodox, 7...Nbd7, Main line |
| 22. Geller vs A Kochyev |
| ½-½ | 14 |
1977 |
Leningrad | D79 Neo-Grunfeld, 6.O-O, Main line |
| 23. A Kochyev vs Tal |
| ½-½ | 21 |
1977 |
Leningrad URS ch | A04 Reti Opening |
| 24. A Kochyev vs Gulko |
| ½-½ | 31 |
1977 |
Leningrad URS ch | A15 English |
| 25. A Kochyev vs Smyslov |
| 1-0 | 40 |
1977 |
Ch URS ( cat. 12 ), Leningrad | B10 Caro-Kann |