| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. J Wegerle vs L Babujian |
| 0-1 | 60 |
2001 |
EYCC B16 | D90 Grunfeld |
| 2. T Kotanjian vs L Babujian |
| 0-1 | 51 |
2005 |
Armenian Championship | D31 Queen's Gambit Declined |
| 3. H Tikkanen vs L Babujian |
 | 0-1 | 33 |
2005 |
World Junior Championship (Boys) | D35 Queen's Gambit Declined |
| 4. L Babujian vs S Williams |
| 0-1 | 27 |
2005 |
6th European Individual Championship | B23 Sicilian, Closed |
| 5. A Chibukhchian vs L Babujian |
| 0-1 | 65 |
2005 |
Armenian Championship | E38 Nimzo-Indian, Classical, 4...c5 |
| 6. S Citak vs L Babujian |
| 0-1 | 63 |
2005 |
World Junior Championship (Boys) | D74 Neo-Grunfeld, 6.cd Nxd5, 7.O-O |
| 7. L Babujian vs T Nalbandian |
| 0-1 | 55 |
2005 |
Armenian Championship | C10 French |
| 8. L Babujian vs Mamedyarov |
| 0-1 | 32 |
2005 |
World Junior Championship (Boys) | C77 Ruy Lopez |
| 9. Ara Minasian vs L Babujian |
| 0-1 | 36 |
2005 |
Armenian Championship | D94 Grunfeld |
| 10. A Bekkat vs L Babujian |
| 0-1 | 42 |
2005 |
World Junior Championship (Boys) | D53 Queen's Gambit Declined |
| 11. L Babujian vs G Sargissian |
| 0-1 | 60 |
2005 |
Armenian Championship | C44 King's Pawn Game |
| 12. L Babujian vs G Livshits |
| 0-1 | 29 |
2005 |
World Junior Championship (Boys) | C26 Vienna |
| 13. D Guadalpi vs L Babujian |
| 0-1 | 54 |
2005 |
6th European Individual Championship | B43 Sicilian, Kan, 5.Nc3 |
| 14. L Babujian vs L Pantsulaia |
| 0-1 | 59 |
2006 |
World Junior Championship | B41 Sicilian, Kan |
| 15. D Baramidze vs L Babujian |
| 0-1 | 19 |
2006 |
World Junior Championship | C48 Four Knights |
| 16. L Janjgava vs L Babujian |
| 0-1 | 50 |
2006 |
Blue Sevan Tournament | E10 Queen's Pawn Game |
| 17. L Babujian vs A Hayrapetian |
| 0-1 | 38 |
2007 |
1st Archil Ebralidze Memorial | C27 Vienna Game |
| 18. A Ter-Karapetian vs L Babujian |
| 0-1 | 21 |
2007 |
1st Archil Ebralidze Memorial | B84 Sicilian, Scheveningen |
| 19. L Babujian vs L Aroshidze |
| 0-1 | 57 |
2007 |
1st Archil Ebralidze Memorial | B40 Sicilian |
| 20. G Bagaturov vs L Babujian |
| 0-1 | 41 |
2007 |
1st Archil Ebralidze Memorial | E34 Nimzo-Indian, Classical, Noa Variation |
| 21. L Babujian vs T L Petrosian |
| 0-1 | 30 |
2008 |
Armenian Championship | E91 King's Indian |
| 22. L Babujian vs T Kotanjian |
| 0-1 | 60 |
2008 |
Armenian Championship | B85 Sicilian, Scheveningen, Classical |
| 23. L Babujian vs A Deviatkin |
| 0-1 | 39 |
2009 |
Chigorin Memorial Open | D18 Queen's Gambit Declined Slav, Dutch |
| 24. V Malakhatko vs L Babujian |
| 0-1 | 24 |
2009 |
Chigorin Memorial Open | E10 Queen's Pawn Game |
