| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. J Wegerle vs L Babujian |
| 0-1 | 60 |
2001 |
EYCC B16 | D90 Grunfeld |
| 2. L Babujian vs A Minasian |
 | 1-0 | 46 |
2005 |
Armenian Championship | B06 Robatsch |
| 3. S Citak vs L Babujian |
| 0-1 | 63 |
2005 |
World Junior Championship (Boys) | D74 Neo-Grunfeld, 6.cd Nxd5, 7.O-O |
| 4. L Babujian vs S Fedorchuk |
| 1-0 | 46 |
2005 |
6th European Individual Championship | B90 Sicilian, Najdorf |
| 5. A Chibukhchian vs L Babujian |
| 0-1 | 65 |
2005 |
Armenian Championship | E38 Nimzo-Indian, Classical, 4...c5 |
| 6. A Bekkat vs L Babujian |
| 0-1 | 42 |
2005 |
World Junior Championship (Boys) | D53 Queen's Gambit Declined |
| 7. L Babujian vs K Asrian |
| 1-0 | 79 |
2005 |
Armenian Championship | B14 Caro-Kann, Panov-Botvinnik Attack |
| 8. L Babujian vs G Lettieri |
| 1-0 | 38 |
2005 |
World Junior Championship (Boys) | B44 Sicilian |
| 9. D Guadalpi vs L Babujian |
| 0-1 | 54 |
2005 |
6th European Individual Championship | B43 Sicilian, Kan, 5.Nc3 |
| 10. Ara Minasian vs L Babujian |
| 0-1 | 36 |
2005 |
Armenian Championship | D94 Grunfeld |
| 11. L Babujian vs J Carron |
| 1-0 | 39 |
2005 |
World Junior Championship (Boys) | B31 Sicilian, Rossolimo Variation |
| 12. L Babujian vs B Bente |
| 1-0 | 55 |
2005 |
6th European Individual Championship | B23 Sicilian, Closed |
| 13. T Kotanjian vs L Babujian |
| 0-1 | 51 |
2005 |
Armenian Championship | D31 Queen's Gambit Declined |
| 14. H Tikkanen vs L Babujian |
| 0-1 | 33 |
2005 |
World Junior Championship (Boys) | D35 Queen's Gambit Declined |
| 15. L Babujian vs M Sliwinski |
| 1-0 | 39 |
2005 |
6th European Individual Championship | B23 Sicilian, Closed |
| 16. L Janjgava vs L Babujian |
| 0-1 | 50 |
2006 |
Blue Sevan Tournament | E10 Queen's Pawn Game |
| 17. D Baramidze vs L Babujian |
| 0-1 | 19 |
2006 |
World Junior Championship | C48 Four Knights |
| 18. L Babujian vs E Romanov |
| 1-0 | 68 |
2006 |
World Junior Championship | A33 English, Symmetrical |
| 19. L Babujian vs K Behmardi |
| 1-0 | 29 |
2006 |
World Junior Championship | C17 French, Winawer, Advance |
| 20. L Babujian vs M Rodshtein |
| 1-0 | 43 |
2006 |
World Junior Championship | B84 Sicilian, Scheveningen |
| 21. L Babujian vs V Gaprindashvili |
| 1-0 | 57 |
2007 |
1st Archil Ebralidze Memorial | D38 Queen's Gambit Declined, Ragozin Variation |
| 22. A Ter-Karapetian vs L Babujian |
| 0-1 | 21 |
2007 |
1st Archil Ebralidze Memorial | B84 Sicilian, Scheveningen |
| 23. G Bagaturov vs L Babujian |
| 0-1 | 41 |
2007 |
1st Archil Ebralidze Memorial | E34 Nimzo-Indian, Classical, Noa Variation |
| 24. L Babujian vs T Nalbandian |
| 1-0 | 44 |
2008 |
Armenian Championship | E94 King's Indian, Orthodox |
| 25. L Babujian vs I Duzhakov |
| 1-0 | 35 |
2009 |
Chigorin Memorial Open | B90 Sicilian, Najdorf |
