| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. A Kveinys vs A Petrosian |
| 1-0 | 58 |
1986 |
Sevastopol | B93 Sicilian, Najdorf, 6.f4 |
| 2. A Kveinys vs W Schmidt |
| ½-½ | 27 |
1990 |
POL-chT | B40 Sicilian |
| 3. A Kveinys vs Kupreichik |
| ½-½ | 38 |
1991 |
Miedzybrodzie | B70 Sicilian, Dragon Variation |
| 4. A Kveinys vs Kramnik |
 | 0-1 | 40 |
1992 |
Ch Europe (team) | B62 Sicilian, Richter-Rauzer |
| 5. A Kveinys vs Wojtkiewicz |
| 1-0 | 27 |
1992 |
Slupsk | B22 Sicilian, Alapin |
| 6. A Kveinys vs Jansa |
| ½-½ | 10 |
1992 |
Ostrava | B86 Sicilian, Fischer-Sozin Attack |
| 7. A Kveinys vs W Wittmann |
| ½-½ | 60 |
1992 |
EU-chT (Men) | B60 Sicilian, Richter-Rauzer |
| 8. A Kveinys vs Kupreichik |
| 0-1 | 46 |
1994 |
Bundesliga (2nd) West /95 | B51 Sicilian, Canal-Sokolsky (Rossolimo) Attack |
| 9. A Kveinys vs DeFirmian |
| 0-1 | 40 |
1994 |
It (open) | B23 Sicilian, Closed |
| 10. A Kveinys vs Van Wely |
 | 1-0 | 33 |
1994 |
Moscow | B93 Sicilian, Najdorf, 6.f4 |
| 11. A Kveinys vs Glek |
| 1-0 | 35 |
1994 |
Bad Godesberg | B30 Sicilian |
| 12. A Kveinys vs Kharlov |
| ½-½ | 75 |
1996 |
Vienna op | B30 Sicilian |
| 13. A Kveinys vs Z Rahman |
| 1-0 | 43 |
1996 |
Yerevan ol (Men) | B31 Sicilian, Rossolimo Variation |
| 14. A Kveinys vs Plachetka |
| 1-0 | 36 |
1997 |
Viking op | B40 Sicilian |
| 15. A Kveinys vs V Malakhov |
| 0-1 | 47 |
2000 |
FIDE World Ch | B27 Sicilian |
| 16. A Kveinys vs Wojtkiewicz |
| ½-½ | 10 |
2000 |
Polish Team Championships | B52 Sicilian, Canal-Sokolsky (Rossolimo) Attack |
| 17. A Kveinys vs J Zezulkin |
| 0-1 | 51 |
2000 |
Polish Team Championships | B31 Sicilian, Rossolimo Variation |
| 18. A Kveinys vs Movsesian |
| ½-½ | 63 |
2000 |
Istanbul ol (Men) | B30 Sicilian |
| 19. A Kveinys vs S Krylov |
| 1-0 | 50 |
2000 |
34th Olympiad | B31 Sicilian, Rossolimo Variation |
| 20. A Kveinys vs Naiditsch |
 | 1-0 | 93 |
2001 |
3rd Julian Borowski B | B90 Sicilian, Najdorf |
| 21. A Kveinys vs A Zapolskis |
| ½-½ | 11 |
2001 |
ch-LTU | B31 Sicilian, Rossolimo Variation |
| 22. A Kveinys vs S B Hansen |
| 1-0 | 58 |
2001 |
Bundesliga -2 | B70 Sicilian, Dragon Variation |
| 23. A Kveinys vs Y Pelletier |
| ½-½ | 24 |
2001 |
3rd Julian Borowski B | B90 Sicilian, Najdorf |
| 24. A Kveinys vs Kulaots |
| ½-½ | 10 |
2001 |
ch-EST | B90 Sicilian, Najdorf |
| 25. A Kveinys vs E Kengis |
| ½-½ | 7 |
2001 |
Rapidplay | B43 Sicilian, Kan, 5.Nc3 |