| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. L Babujian vs Stellwagen |
| ½-½ | 45 |
2005 |
World Junior Championship (Boys) | C11 French |
| 2. L Babujian vs F Berkes |
| ½-½ | 32 |
2005 |
World Junior Championship (Boys) | B80 Sicilian, Scheveningen |
| 3. L Babujian vs A Evdokimov |
| ½-½ | 98 |
2005 |
6th European Individual Championship | B31 Sicilian, Rossolimo Variation |
| 4. L Babujian vs B Galstian |
| ½-½ | 84 |
2005 |
Armenian Championship | A22 English |
| 5. T L Petrosian vs L Babujian |
| ½-½ | 67 |
2005 |
Armenian Championship | E04 Catalan, Open, 5.Nf3 |
| 6. L Babujian vs Li Chao |
| ½-½ | 80 |
2006 |
World Junior Championship | C69 Ruy Lopez, Exchange, Gligoric Variation, 6.d4 |
| 7. L Babujian vs Z Andriasian |
| ½-½ | 58 |
2006 |
Blue Sevan Tournament | C91 Ruy Lopez, Closed |
| 8. A Mallahi vs L Babujian |
| ½-½ | 66 |
2006 |
Blue Sevan Tournament | B54 Sicilian |
| 9. L Babujian vs B Grachev |
| ½-½ | 46 |
2006 |
World Junior Championship | B54 Sicilian |
| 10. L Babujian vs N Vitiugov |
| ½-½ | 126 |
2006 |
Blue Sevan Tournament | E21 Nimzo-Indian, Three Knights |
| 11. J Geller vs L Babujian |
| ½-½ | 73 |
2006 |
World Junior Championship | B90 Sicilian, Najdorf |
| 12. G Margvelashvili vs L Babujian |
| ½-½ | 15 |
2007 |
1st Archil Ebralidze Memorial | E10 Queen's Pawn Game |
| 13. L Babujian vs A Chibukhchian |
| ½-½ | 33 |
2007 |
1st Archil Ebralidze Memorial | B45 Sicilian, Taimanov |
| 14. L Babujian vs A Yegiazarian |
| ½-½ | 62 |
2008 |
Armenian Championship | E25 Nimzo-Indian, Samisch |
| 15. A Pashikian vs L Babujian |
| ½-½ | 96 |
2008 |
Armenian Championship | C89 Ruy Lopez, Marshall |