| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 26. A Kveinys vs Hertneck |
| ½-½ | 61 |
1992 |
Manila ol (Men) | C06 French, Tarrasch |
| 27. A Kveinys vs Skembris |
| ½-½ | 18 |
1992 |
EU-chT (Men) | D03 Torre Attack (Tartakower Variation) |
| 28. A Kveinys vs Bagirov |
| ½-½ | 19 |
1992 |
Manila olm | B03 Alekhine's Defense |
| 29. Sosonko vs A Kveinys |
| ½-½ | 28 |
1992 |
Manila olm | E02 Catalan, Open, 5.Qa4 |
| 30. Romanishin vs A Kveinys |
| 1-0 | 47 |
1992 |
Manila (ol) 55/267 | B40 Sicilian |
| 31. A Kveinys vs W Wittmann |
| ½-½ | 60 |
1992 |
EU-chT (Men) | B60 Sicilian, Richter-Rauzer |
| 32. A Kveinys vs Romanishin |
| ½-½ | 36 |
1992 |
Debrecen ETC | A45 Queen's Pawn Game |
| 33. A Kveinys vs K Mokry |
| 0-1 | 32 |
1992 |
Manila ol (Men) | B07 Pirc |
| 34. Hracek vs A Kveinys |
| 0-1 | 41 |
1992 |
EU-chT (Men) | A07 King's Indian Attack |
| 35. Gipslis vs A Kveinys |
| ½-½ | 25 |
1992 |
Ostrava (Czech Republic) | B40 Sicilian |
| 36. A Kveinys vs Plachetka |
| ½-½ | 32 |
1992 |
Ostrava | A33 English, Symmetrical |
| 37. A Kveinys vs Jansa |
| ½-½ | 10 |
1992 |
Ostrava | B86 Sicilian, Fischer-Sozin Attack |
| 38. Z Varga vs A Kveinys |
| ½-½ | 10 |
1992 |
EU-chT (Men) | B40 Sicilian |
| 39. Rublevsky vs A Kveinys |
| ½-½ | 26 |
1992 |
Ostrava | B23 Sicilian, Closed |
| 40. A Kveinys vs Kramnik |
 | 0-1 | 40 |
1992 |
Ch Europe (team) | B62 Sicilian, Richter-Rauzer |
| 41. A Kveinys vs Glek |
| 1-0 | 62 |
1993 |
Bad Godesberg | C07 French, Tarrasch |
| 42. Jansa vs A Kveinys |
| 0-1 | 44 |
1993 |
Prag | B43 Sicilian, Kan, 5.Nc3 |
| 43. A Kveinys vs Smejkal |
| 1-0 | 36 |
1993 |
Prague | C49 Four Knights |
| 44. Romanishin vs A Kveinys |
| 1-0 | 42 |
1994 |
Bad Godesberg | E63 King's Indian, Fianchetto, Panno Variation |
| 45. A Kveinys vs DeFirmian |
| 0-1 | 40 |
1994 |
It (open) | B23 Sicilian, Closed |
| 46. A Kveinys vs E Kengis |
| ½-½ | 9 |
1994 |
It | C31 King's Gambit Declined, Falkbeer Counter Gambit |
| 47. A Kveinys vs Glek |
| 1-0 | 35 |
1994 |
Bad Godesberg | B30 Sicilian |
| 48. A Kveinys vs Bronstein |
| 0-1 | 39 |
1994 |
It (open) | C95 Ruy Lopez, Closed, Breyer |
| 49. Shabalov vs A Kveinys |
| 1-0 | 52 |
1994 |
Godesburg (Germany) | E11 Bogo-Indian Defense |
| 50. A Kveinys vs Van Wely |
 | 1-0 | 33 |
1994 |
Moscow | B93 Sicilian, Najdorf, 6.f4 |