Game |
| Result | Moves |
Year | Event/Locale | Opening |
51. I Anagnostou vs R Byrne |
 | 0-1 | 32 | 1952 | Helsinki Olympiad qual-3 | A92 Dutch |
52. R Byrne vs Sliwa |
 | 0-1 | 46 | 1952 | Helsinki Olympiad qual-3 | C68 Ruy Lopez, Exchange |
53. R Byrne vs Geller |
| ½-½ | 57 | 1952 | Helsinki Olympiad qual-3 | E60 King's Indian Defense |
54. Pirc vs R Byrne |
| 0-1 | 65 | 1952 | Helsinki Olympiad Final-A | A03 Bird's Opening |
55. R Byrne vs Barcza |
| ½-½ | 58 | 1952 | Helsinki Olympiad Final-A | E11 Bogo-Indian Defense |
56. R Byrne vs K Skold |
| 1-0 | 42 | 1952 | Helsinki Olympiad Final-A | E58 Nimzo-Indian, 4.e3, Main line with 8...Bxc3 |
57. R Byrne vs Eliskases |
 | 1-0 | 51 | 1952 | Helsinki Olympiad Final-A | D35 Queen's Gambit Declined |
58. R Byrne vs T Salo |
| ½-½ | 37 | 1952 | Helsinki Olympiad Final-A | D35 Queen's Gambit Declined |
59. Bronstein vs R Byrne |
 | 0-1 | 42 | 1952 | Helsinki Olympiad Final-A | D24 Queen's Gambit Accepted |
60. J Sajtar vs R Byrne |
| ½-½ | 22 | 1952 | Helsinki Olympiad Final-A | D23 Queen's Gambit Accepted |
61. W Lange vs R Byrne |
| 0-1 | 25 | 1952 | Helsinki Olympiad Final-A | A04 Reti Opening |
62. R Byrne vs Kotov |
 | 0-1 | 58 | 1954 | USA - Soviet Union | E69 King's Indian, Fianchetto, Classical Main line |
63. Kotov vs R Byrne |
 | ½-½ | 108 | 1954 | USA - Soviet Union | A34 English, Symmetrical |
64. R Byrne vs Kotov |
 | ½-½ | 56 | 1954 | USA - Soviet Union | E29 Nimzo-Indian, Samisch |
65. Kotov vs R Byrne |
| ½-½ | 28 | 1954 | USA - Soviet Union | A13 English |
66. R Byrne vs Keres |
| ½-½ | 56 | 1955 | URS-USA | E24 Nimzo-Indian, Samisch |
67. Keres vs R Byrne |
 | 1-0 | 30 | 1955 | URS-USA | B20 Sicilian |
68. R Byrne vs Keres |
 | 0-1 | 66 | 1955 | URS-USA | C39 King's Gambit Accepted |
69. Keres vs R Byrne |
 | 1-0 | 40 | 1955 | URS-USA | B63 Sicilian, Richter-Rauzer Attack |
70. S Delgado Ramirez vs R Byrne |
| 0-1 | 26 | 1957 | 58th US Open | B56 Sicilian |
71. R Byrne vs G Hartleb |
| 1-0 | 37 | 1957 | 58th US Open | D35 Queen's Gambit Declined |
72. O Popovych vs R Byrne |
| 0-1 | 45 | 1957 | 58th US Open | B63 Sicilian, Richter-Rauzer Attack |
73. R Byrne vs G Ramirez |
| ½-½ | 28 | 1957 | 58th US Open | E29 Nimzo-Indian, Samisch |
74. P Brandts vs R Byrne |
| 0-1 | 34 | 1957 | 58th US Open | D24 Queen's Gambit Accepted |
75. R Byrne vs E Mednis |
| ½-½ | 40 | 1957 | 58th US Open | E63 King's Indian, Fianchetto, Panno Variation |