| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. L Babujian vs K Asrian |
| 1-0 | 79 |
2005 |
Armenian Championship | B14 Caro-Kann, Panov-Botvinnik Attack |
| 2. A Tzermiadianos vs L Babujian |
| 1-0 | 58 |
2005 |
6th European Individual Championship | C67 Ruy Lopez |
| 3. A Mista vs L Babujian |
| 1-0 | 47 |
2005 |
6th European Individual Championship | C67 Ruy Lopez |
| 4. A Anastasian vs L Babujian |
| 1-0 | 56 |
2005 |
Armenian Championship | A48 King's Indian |
| 5. J M Lopez-Martinez vs L Babujian |
| 1-0 | 29 |
2005 |
6th European Individual Championship | B90 Sicilian, Najdorf |
| 6. T Nyback vs L Babujian |
| 1-0 | 41 |
2005 |
6th European Individual Championship | D85 Grunfeld |
| 7. L Babujian vs G Lettieri |
 | 1-0 | 38 |
2005 |
World Junior Championship (Boys) | B44 Sicilian |
| 8. L Babujian vs A Minasian |
 | 1-0 | 46 |
2005 |
Armenian Championship | B06 Robatsch |
| 9. L Babujian vs B Bente |
| 1-0 | 55 |
2005 |
6th European Individual Championship | B23 Sicilian, Closed |
| 10. L Babujian vs S Fedorchuk |
 | 1-0 | 46 |
2005 |
6th European Individual Championship | B90 Sicilian, Najdorf |
| 11. L Babujian vs J Carron |
| 1-0 | 39 |
2005 |
World Junior Championship (Boys) | B31 Sicilian, Rossolimo Variation |
| 12. A Yegiazarian vs L Babujian |
| 1-0 | 95 |
2005 |
Armenian Championship | E60 King's Indian Defense |
| 13. E L'Ami vs L Babujian |
| 1-0 | 69 |
2005 |
6th European Individual Championship | D91 Grunfeld, 5.Bg5 |
| 14. G Guseinov vs L Babujian |
| 1-0 | 22 |
2005 |
6th European Individual Championship | C65 Ruy Lopez, Berlin Defense |
| 15. G Xie vs L Babujian |
| 1-0 | 28 |
2005 |
World Junior Championship (Boys) | A45 Queen's Pawn Game |
| 16. I Khairullin vs L Babujian |
| 1-0 | 33 |
2005 |
World Junior Championship (Boys) | C67 Ruy Lopez |
| 17. L Babujian vs M Sliwinski |
 | 1-0 | 39 |
2005 |
6th European Individual Championship | B23 Sicilian, Closed |
| 18. Wang Hao vs L Babujian |
| 1-0 | 48 |
2006 |
World Junior Championship | C88 Ruy Lopez |
| 19. S Brunello vs L Babujian |
| 1-0 | 79 |
2006 |
World Junior Championship | B30 Sicilian |
| 20. L Babujian vs M Rodshtein |
| 1-0 | 43 |
2006 |
World Junior Championship | B84 Sicilian, Scheveningen |
| 21. L Babujian vs E Romanov |
| 1-0 | 68 |
2006 |
World Junior Championship | A33 English, Symmetrical |
| 22. L Babujian vs K Behmardi |
| 1-0 | 29 |
2006 |
World Junior Championship | C17 French, Winawer, Advance |
| 23. A Gupta vs L Babujian |
| 1-0 | 30 |
2006 |
World Junior Championship | E10 Queen's Pawn Game |
| 24. A Ostrovskiy vs L Babujian |
| 1-0 | 39 |
2006 |
Moscow Aeroflot op-B | B00 Uncommon King's Pawn Opening |
| 25. L Babujian vs V Gaprindashvili |
| 1-0 | 57 |
2007 |
1st Archil Ebralidze Memorial | D38 Queen's Gambit Declined, Ragozin Variation |