| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. Psakhis vs A Kveinys |
| 1-0 | 29 |
1986 |
Sevastopol | D35 Queen's Gambit Declined |
| 2. Karpov vs A Kveinys |
| 1-0 | 20 |
1988 |
Riga | B50 Sicilian |
| 3. A Kveinys vs E Vladimirov |
| 0-1 | 43 |
1988 |
URS Cup rapid | C61 Ruy Lopez, Bird's Defense |
| 4. A Kveinys vs J Lechtynsky |
| 0-1 | 24 |
1990 |
Rimavska Sobota | B15 Caro-Kann |
| 5. Kupreichik vs A Kveinys |
| 1-0 | 36 |
1990 |
Warsaw | B46 Sicilian, Taimanov Variation |
| 6. A Kveinys vs Kupreichik |
| 0-1 | 37 |
1990 |
Rimavska Sobota 49/704 | E70 King's Indian |
| 7. A Kveinys vs Kupreichik |
| 0-1 | 37 |
1990 |
Rimavska Sobota | E70 King's Indian |
| 8. K Mokry vs A Kveinys |
| 1-0 | 39 |
1990 |
Rimavska Sobota | C92 Ruy Lopez, Closed |
| 9. C Hansen vs A Kveinys |
| 1-0 | 49 |
1990 |
Groningen open | D61 Queen's Gambit Declined, Orthodox, Rubinstein Attack |
| 10. A Kveinys vs Kramnik |
 | 0-1 | 40 |
1992 |
Ch Europe (team) | B62 Sicilian, Richter-Rauzer |
| 11. A Kveinys vs A Chernin |
| 0-1 | 28 |
1992 |
EU-chT (Men) | B07 Pirc |
| 12. Romanishin vs A Kveinys |
| 1-0 | 47 |
1992 |
Manila (ol) 55/267 | B40 Sicilian |
| 13. A Kveinys vs K Mokry |
| 0-1 | 32 |
1992 |
Manila ol (Men) | B07 Pirc |
| 14. Shabalov vs A Kveinys |
| 1-0 | 52 |
1994 |
Godesburg (Germany) | E11 Bogo-Indian Defense |
| 15. A Kveinys vs Khenkin |
| 0-1 | 41 |
1994 |
Reykjavik Open | B13 Caro-Kann, Exchange |
| 16. A Kveinys vs Blatny |
| 0-1 | 28 |
1994 |
Vienna open | C86 Ruy Lopez, Worrall Attack |
| 17. Romanishin vs A Kveinys |
| 1-0 | 42 |
1994 |
Bad Godesberg | E63 King's Indian, Fianchetto, Panno Variation |
| 18. A Kveinys vs DeFirmian |
| 0-1 | 40 |
1994 |
It (open) | B23 Sicilian, Closed |
| 19. A Kveinys vs Speelman |
| 0-1 | 72 |
1994 |
Moscow olm 62/109 | B07 Pirc |
| 20. A Kveinys vs Bronstein |
| 0-1 | 39 |
1994 |
It (open) | C95 Ruy Lopez, Closed, Breyer |
| 21. A Kveinys vs Kupreichik |
| 0-1 | 46 |
1994 |
Bundesliga (2nd) West /95 | B51 Sicilian, Canal-Sokolsky (Rossolimo) Attack |
| 22. A Kveinys vs Bagirov |
| 0-1 | 47 |
1995 |
Weilburg op | B01 Scandinavian |
| 23. Glek vs A Kveinys |
| 1-0 | 42 |
1995 |
Bad Godesberg 63/186 | B77 Sicilian, Dragon, Yugoslav Attack |
| 24. Krasenkow vs A Kveinys |
| 1-0 | 29 |
1995 |
Ch Poland Lubniewice (Poland) (08) | E60 King's Indian Defense |
| 25. P Nikolic vs A Kveinys |
| 1-0 | 27 |
1996 |
Yerevan ol (Men) | E69 King's Indian, Fianchetto, Classical Main line |
