| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. Lutsko vs A Kveinys |
| 0-1 | 48 |
2001 |
Keres mem open | E49 Nimzo-Indian, 4.e3, Botvinnik System |
| 2. S Ivanov vs A Kveinys |
| ½-½ | 49 |
2001 |
TCh-POL | E48 Nimzo-Indian, 4.e3 O-O 5.Bd3 d5 |
| 3. Khalifman vs A Kveinys |
| ½-½ | 27 |
2001 |
Rapidplay | E59 Nimzo-Indian, 4.e3, Main line |
| 4. D Palo vs A Kveinys |
| 1-0 | 55 |
2004 |
36th Olympiad | E32 Nimzo-Indian, Classical |
| 5. E Arlandi vs A Kveinys |
| 0-1 | 29 |
2004 |
36th Olympiad | E32 Nimzo-Indian, Classical |
| 6. Meng-Kong Wong vs A Kveinys |
| ½-½ | 51 |
2004 |
36th Olympiad | E20 Nimzo-Indian |
| 7. S Bjerke vs A Kveinys |
| ½-½ | 29 |
2005 |
Open Norwegian Championship | E32 Nimzo-Indian, Classical |
| 8. D Beletic vs A Kveinys |
| 0-1 | 45 |
2005 |
19th Pula Open | E32 Nimzo-Indian, Classical |
| 9. V Colin vs A Kveinys |
| ½-½ | 29 |
2005 |
20th North Sea Cup | E54 Nimzo-Indian, 4.e3, Gligoric System |
| 10. Per Nielsen vs A Kveinys |
| 0-1 | 64 |
2005 |
20th North Sea Cup | E42 Nimzo-Indian, 4.e3 c5, 5.Ne2 (Rubinstein) |
| 11. V Golod vs A Kveinys |
| ½-½ | 13 |
2006 |
Cappelle la Grande | E37 Nimzo-Indian, Classical |
| 12. A Flumbort vs A Kveinys |
| 0-1 | 48 |
2007 |
BL 0708 SG Turm Trier - Godesberger SK | E32 Nimzo-Indian, Classical |
| 13. Delchev vs A Kveinys |
| 1-0 | 63 |
2007 |
European Team Chess Championships | E20 Nimzo-Indian |
| 14. D Pruess vs A Kveinys |
| 0-1 | 25 |
2008 |
Gausdal Classics GMB | E21 Nimzo-Indian, Three Knights |
| 15. H Teske vs A Kveinys |
| ½-½ | 29 |
2008 |
BL 0708 TV Tegernsee - Godesberger SK | E47 Nimzo-Indian, 4.e3 O-O 5.Bd3 |
| 16. B Chatalbashev vs A Kveinys |
| ½-½ | 32 |
2009 |
European Club Cup | E21 Nimzo-Indian, Three Knights |