Game |
| Result | Moves |
Year | Event/Locale | Opening |
1. J Randviir vs Keres |
 | 0-1 | 26 | 1943 | EST-ch | B20 Sicilian |
2. J Randviir vs M Birmanas |
| 1-0 | 33 | 1943 | Vilnius Christmas tournament | C34 King's Gambit Accepted |
3. J Randviir vs Keres |
| 0-1 | 20 | 1945 | Ch Estonia (open) | C36 King's Gambit Accepted, Abbazia Defense |
4. J Randviir vs Tolush |
| 0-1 | 18 | 1945 | Ch Estonia (open) | C34 King's Gambit Accepted |
5. J Randviir vs Kotov |
 | 0-1 | 41 | 1947 | Parnu | B10 Caro-Kann |
6. Tolush vs J Randviir |
 | 1-0 | 44 | 1947 | Parnu | D47 Queen's Gambit Declined Semi-Slav |
7. J Randviir vs Bronstein |
 | 0-1 | 41 | 1947 | Parnu | C45 Scotch Game |
8. G Kasparian vs J Randviir |
| 1-0 | 52 | 1947 | Parnu | D10 Queen's Gambit Declined Slav |
9. J Randviir vs Keres |
 | 0-1 | 63 | 1947 | Parnu | C45 Scotch Game |
10. Boleslavsky vs J Randviir |
| 1-0 | 22 | 1947 | Parnu | B10 Caro-Kann |
11. J Randviir vs Simagin |
| 1-0 | 56 | 1947 | Parnu | B71 Sicilian, Dragon, Levenfish Variation |
12. Smyslov vs J Randviir |
 | 1-0 | 39 | 1947 | Parnu | C64 Ruy Lopez, Classical |
13. J Randviir vs Flohr |
 | 0-1 | 27 | 1947 | Parnu | B17 Caro-Kann, Steinitz Variation |
14. Lilienthal vs J Randviir |
 | 1-0 | 20 | 1947 | Parnu | B17 Caro-Kann, Steinitz Variation |
15. J Randviir vs Bondarevsky |
| ½-½ | 41 | 1947 | Parnu | C01 French, Exchange |
16. J Randviir vs V Makogonov |
 | 0-1 | 57 | 1947 | Parnu | B10 Caro-Kann |
17. R Renter vs J Randviir |
| ½-½ | 30 | 1947 | Parnu | D48 Queen's Gambit Declined Semi-Slav, Meran |
18. J Randviir vs E Zagoryansky |
| 0-1 | 25 | 1949 | URS-ch sf Leningrad | C77 Ruy Lopez |
19. L Shamaev vs J Randviir |
| ½-½ | 102 | 1949 | URS-ch sf Leningrad | B10 Caro-Kann |
20. G Ravinsky vs J Randviir |
| 0-1 | 40 | 1949 | URS-ch sf Leningrad | C03 French, Tarrasch |
21. J Randviir vs A Zamikhovsky |
| ½-½ | 42 | 1949 | URS-ch sf Leningrad | B10 Caro-Kann |
22. J Randviir vs A Ufimtsev |
| 1-0 | 73 | 1949 | URS-ch sf Leningrad | B92 Sicilian, Najdorf, Opocensky Variation |
23. J Randviir vs Y Estrin |
  | 1-0 | 78 | 1949 | URS-ch sf Leningrad | C45 Scotch Game |
24. J Randviir vs Levenfish |
| 0-1 | 84 | 1949 | URS-ch sf Leningrad | C45 Scotch Game |
25. Koblents vs J Randviir |
| ½-½ | 12 | 1949 | URS-ch sf Leningrad | C41 Philidor Defense |