| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. K Mueller vs H Enevoldsen |
| 1-0 | 28 |
1952 |
Helsinki ol (Men) | D19 Queen's Gambit Declined Slav, Dutch |
| 2. K Mueller vs I Johansson |
| 0-1 | 45 |
1952 |
Helsinki ol (Men) | E42 Nimzo-Indian, 4.e3 c5, 5.Ne2 (Rubinstein) |
| 3. Cortlever vs K Mueller |
| 1-0 | 41 |
1952 |
Helsinki ol (Men) | B54 Sicilian |
| 4. K Mueller vs G Primavera |
| ½-½ | 29 |
1952 |
Helsinki ol (Men) | E80 King's Indian, Samisch Variation |
| 5. G Primavera vs K Mueller |
| 0-1 | 52 |
1952 |
Helsinki ol (Men) | E26 Nimzo-Indian, Samisch |
| 6. B Milic vs K Mueller |
| 1-0 | 41 |
1952 |
Helsinki ol (Men) | B91 Sicilian, Najdorf, Zagreb (Fianchetto) Variation |
| 7. Franz Auer vs K Mueller |
| ½-½ | 23 |
1952 |
Helsinki ol (Men) | E10 Queen's Pawn Game |
| 8. K Mueller vs W Litmanowicz |
| 1-0 | 32 |
1952 |
Helsinki ol (Men) | A53 Old Indian |
| 9. T Florian vs K Mueller |
| 1-0 | 58 |
1952 |
Helsinki ol (Men) | D55 Queen's Gambit Declined |
| 10. K Mueller vs R Ortega |
| 1-0 | 42 |
1952 |
Helsinki ol (Men) | D47 Queen's Gambit Declined Semi-Slav |
| 11. A Mandelbaum vs K Mueller |
| ½-½ | 71 |
1952 |
Helsinki ol (Men) | E26 Nimzo-Indian, Samisch |
| 12. K Mueller vs W Ramm |
| 1-0 | 38 |
1952 |
Helsinki ol (Men) | E42 Nimzo-Indian, 4.e3 c5, 5.Ne2 (Rubinstein) |
| 13. D Horne vs K Mueller |
| ½-½ | 36 |
1952 |
Helsinki ol (Men) | B54 Sicilian |
| 14. K Mueller vs H Keller |
| 1-0 | 34 |
1952 |
Helsinki ol (Men) | E80 King's Indian, Samisch Variation |
| 15. O Cruz Filho vs K Mueller |
| 0-1 | 61 |
1952 |
Helsinki ol (Men) | E38 Nimzo-Indian, Classical, 4...c5 |
| 16. K Mueller vs R Oortwijn |
| ½-½ | 63 |
1999 |
QM..0.00018 | B90 Sicilian, Najdorf |
| 17. K Mueller vs H Kiefhaber |
| 1-0 | 48 |
1999 |
QM..0.00018 | B06 Robatsch |
| 18. A Shaley vs K Mueller |
| 0-1 | 58 |
1999 |
QM..0.00018 | C96 Ruy Lopez, Closed |
| 19. H Kiefhaber vs K Mueller |
| 1-0 | 51 |
1999 |
QM..0.00018 | B22 Sicilian, Alapin |
| 20. R Oortwijn vs K Mueller |
| 1-0 | 39 |
1999 |
QM..0.00018 | B30 Sicilian |
| 21. K Mueller vs A Shaley |
| 1-0 | 33 |
1999 |
QM..0.00018 | D44 Queen's Gambit Declined Semi-Slav |
| 22. K Mueller vs H Thieme |
| 1-0 | 27 |
2004 |
Brandenburg-ch Seniors 12th | B80 Sicilian, Scheveningen |
| 23. K Mueller vs H Huth |
| 1-0 | 30 |
2004 |
Brandenburg op Seniors 13th | B32 Sicilian |