| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. T Bjornsson vs F McCurdy |
| 1-0 | 27 |
1967 |
WchT U26 | D70 Neo-Grunfeld Defense |
| 2. B Benediktsson vs T Bjornsson |
| 0-1 | 41 |
1984 |
Reykjavik op | D10 Queen's Gambit Declined Slav |
| 3. T Bjornsson vs T Thorhallsson |
| 0-1 | 36 |
1984 |
It (open) | C50 Giuoco Piano |
| 4. T Bjornsson vs K Burger |
| 0-1 | 34 |
1984 |
It (open) | B19 Caro-Kann, Classical |
| 5. T Bjornsson vs A A Arnason |
| 0-1 | 26 |
1984 |
It (open) | C57 Two Knights |
| 6. Christiansen vs T Bjornsson |
| 1-0 | 32 |
1988 |
It (open) | C85 Ruy Lopez, Exchange Variation Doubly Deferred (DERLD) |
| 7. T Bjornsson vs Hjartarson |
| 1-0 | 61 |
1988 |
It (open) | C55 Two Knights Defense |
| 8. Petursson vs T Bjornsson |
| 1-0 | 31 |
1990 |
Reykjavik | D35 Queen's Gambit Declined |
| 9. T Bjornsson vs Bronstein |
| ½-½ | 15 |
1990 |
Cup Arnold | C71 Ruy Lopez |
| 10. T Bjornsson vs O Thorsson |
| 1-0 | 11 |
1990 |
Reykjavik | B17 Caro-Kann, Steinitz Variation |
| 11. T Bjornsson vs Wojtkiewicz |
| 1-0 | 35 |
1990 |
Reykjavik | B96 Sicilian, Najdorf |
| 12. Razuvaev vs T Bjornsson |
| 1-0 | 27 |
1990 |
Paris-ch op | A94 Dutch, Stonewall with Ba3 |
| 13. Browne vs T Bjornsson |
| 1-0 | 40 |
1990 |
It (open) | D35 Queen's Gambit Declined |
| 14. V Tukmakov vs T Bjornsson |
| 1-0 | 29 |
1990 |
Reykjavik op | E00 Queen's Pawn Game |
| 15. S Briem vs T Bjornsson |
| 0-1 | 50 |
1990 |
Reykjavik op | C20 King's Pawn Game |
| 16. H A Gretarsson vs T Bjornsson |
| ½-½ | 65 |
1994 |
ISL-chT | A80 Dutch |
| 17. T Bjornsson vs Kotronias |
| 0-1 | 36 |
1994 |
It (open) | C85 Ruy Lopez, Exchange Variation Doubly Deferred (DERLD) |
| 18. A Lugovoi vs T Bjornsson |
| 1-0 | 31 |
1998 |
4th Gudmundur Arason | A59 Benko Gambit |
| 19. Christiansen vs T Bjornsson |
| 1-0 | 77 |
2000 |
Reykjavik op19 | A35 English, Symmetrical |
| 20. T Bjornsson vs O Salmensuu |
| ½-½ | 42 |
2000 |
Reykjavik op19 | B74 Sicilian, Dragon, Classical |
| 21. T Bjornsson vs T Lampen |
| 1-0 | 55 |
2000 |
Reykjavik op19 | B92 Sicilian, Najdorf, Opocensky Variation |
| 22. T Bjornsson vs H Olafsson |
| ½-½ | 22 |
2000 |
Reykjavik op19 | B43 Sicilian, Kan, 5.Nc3 |
| 23. H Marks vs T Bjornsson |
| 0-1 | 72 |
2000 |
Reykjavik op19 | D02 Queen's Pawn Game |
| 24. G Kjartansson vs T Bjornsson |
| ½-½ | 50 |
2000 |
Reykjavik op19 | B33 Sicilian |
| 25. T Bjornsson vs J Gunnarsson |
| 0-1 | 44 |
2000 |
Reykjavik op19 | C42 Petrov Defense |