 
                                    | Fecha | Torneo de ajedrez | Estado | 
|---|---|---|
| 2020-01-05 to 2020-02-02 | Skákþing Reykjavíkur 2020  | Finalizado | 
| 2019-11-04 to 2019-11-04 | Hraðskákmót Garðabæjar 2019  | Finalizado | 
| 2019-10-04 to 2021-03-07 | Icelandic Team Championship 2019-21 - 2nd division  | Finalizado | 
| 2018-11-09 to 2019-03-02 | Icelandic Team Championship 2018-19 - 2nd division  | Finalizado | 
| 2017-10-20 to 2018-03-03 | Icelandic Team Championship 2017-18 - 2nd Divison  | Finalizado | 
| 2016-09-30 to 2017-03-04 | Icelandic Team Championship 2016-17 - 2nd division  | Finalizado | 
| 2016-09-30 to 2017-03-04 | Icelandic Team Championship 2016-17 - 2nd division  | Finalizado | 
| 2014-10-20 to 2014-12-01 | Skákþing Garðabæjar 2014 A flokkur  | Finalizado | 
| 2014-09-14 to 2014-10-17 | Haustmót Taflfélags Reykjavíkur 2014 - B-flokkur  | Finalizado | 
| 2014-03-19 to 2014-05-07 | Skákmót öðlinga 2014.  | Finalizado | 
| 2014-02-18 to 2014-02-18 | Breiðabliksæfing 18.febrúar 2014  | Finalizado | 
| 2014-01-04 to 2014-02-02 | Skákþing Reykjavíkur 2014  | Finalizado | 
| 2013-12-12 to 2013-12-12 | Hraðskákmót Garðabæjar 2013  | Finalizado | 
| Fecha | Jugadores & Apertura | Resultado | ECO | Ver | 
|---|---|---|---|---|
| 2020.02.02 | Helgason, Jon Thor (1672 ) vs (1114) Jonsson, Thorsteinn Emil Skákþing Reykjavíkur 2020 Peón de Rey Irregular - Owen | 1-0 | B00 | |
| 2020.01.29 | Kjartansson, Matthias Bjorgvin (1036 ) vs (1672) Helgason, Jon Thor Skákþing Reykjavíkur 2020 Española Morphy - Anderssen | 1/2-1/2 | C77 | |
| 2020.01.26 | Helgason, Jon Thor (1672 ) vs (1241) Omarsson, Adam Skákþing Reykjavíkur 2020 Robatsch - Pequeño Centro | 0-1 | B06 | |
| 2020.01.22 | Sigurvaldason, Hjalmar (1469 ) vs (1672) Helgason, Jon Thor Skákþing Reykjavíkur 2020 Gambito de Dama Rehúsado Ragozin | 1-0 | D38 | |
| 2020.01.19 | Helgason, Jon Thor (1672 ) vs (1859) Finnbogadottir, Tinna Kristin Skákþing Reykjavíkur 2020 Escandinava | 0-1 | B01 | |
| 2020.01.15 | Heidarsson, Mikael Bjarki (1043 ) vs (1672) Helgason, Jon Thor Skákþing Reykjavíkur 2020 Gambito de Dama Rehúsado - Cambio | 1/2-1/2 | D35 | |
| 2020.01.12 | Helgason, Jon Thor (1672 ) vs (2155) Karlsson, Mikael Johann Skákþing Reykjavíkur 2020 Escandinava | 0-1 | B01 | |
| 2020.01.08 | Kjartansson, Arnar Logi vs (1672) Helgason, Jon Thor Skákþing Reykjavíkur 2020 Gambito de Dama Rehúsado - Cambio | 0-1 | D35 | |
| 2020.01.05 | Helgason, Jon Thor (1672 ) vs (2197) Briem, Stephan Skákþing Reykjavíkur 2020 Escandinava | 1/2-1/2 | B01 | 
| Fecha | Jugadores & Apertura | Resultado | ECO | Ver | 
|---|---|---|---|---|
| 2023.10.15 | Janse,L (2221) vs (2280) Helgason,R TCh-SWE Elitserien Siciliana Cerrada - Zukertort | 1/2-1/2 | B23 | |
| 2023.10.14 | Helgason,R (2280) vs (2110) Anderzen,Robert TCh-SWE Elitserien India | 0-1 | A45 | |
| 2023.10.13 | Tuomainen,Felix (2184) vs (2280) Helgason,R TCh-SWE Elitserien Gambito de Dama Rehúsado | 1-0 | D37 | |
| 2022.10.16 | Helgason,R (2273) vs (2318) Bellon Lopez,JuM TCh-SWE Elitserien Apertura Polaca (Sokolsky) - Variante del Flanco | 0-1 | A00 | |
| 2022.10.15 | Lissang,C (2343) vs (2273) Helgason,R TCh-SWE Elitserien Reti Zukertort - Mejicana | 1/2-1/2 | A06 | |
| 2022.10.14 | Hedman,E (2322) vs (2273) Helgason,R TCh-SWE Elitserien Reti India de Rey | 1/2-1/2 | A07 | |
| 2022.05.15 | Helgason,R (2283) vs (2395) Wedberg,T TCh-SWE Elitserien India | 1/2-1/2 | A45 | |
| 2022.05.14 | Larsson,A2 (2234) vs (2283) Helgason,R TCh-SWE Elitserien Peón de Dama Zukertort | 1/2-1/2 | D02 | |
| 2022.05.29 | Helgason,R (2283) vs (2249) Lammens,Tim 47th OKU Masters 2022 Peón de Dama - Mason (Steinitz) | 0-1 | D00 | |
| 2022.05.29 | Kerigan,D (2354) vs (2283) Helgason,R 47th OKU Masters 2022 Siciliana - Rossolimo | 1-0 | B30 | |
| 2022.05.28 | Helgason,R (2283) vs (2275) Kokje,Joris 47th OKU Masters 2022 India | 1-0 | A45 | |
| 2022.05.28 | Wemmers,X (2375) vs (2283) Helgason,R 47th OKU Masters 2022 Gambito de Dama Rehúsado variante del Cambio - Gambito de Dama Rehúsado variante del Cambio | 1/2-1/2 | D36 | |
| 2022.05.27 | Helgason,R (2283) vs (2354) Ootes,La 47th OKU Masters 2022 Moderna | 0-1 | A41 | |
| 2022.05.27 | Margarido,J (2127) vs (2283) Helgason,R 47th OKU Masters 2022 Siciliana - Rossolimo | 1/2-1/2 | B30 | |
| 2022.03.12 | Helgason,R (2283) vs (2357) Dorohin,M 47th OKU Masters 2022 Reti India de Rey | 1/2-1/2 | A07 | |
| 2022.02.27 | Ratsma,Rosa (2234) vs (2283) Helgason,R 47th OKU Masters 2022 Caro-Kann - Dos Caballos | 1-0 | B11 | |
| 2022.02.13 | Lombaers,P (2355) vs (2283) Helgason,R 47th OKU Masters 2022 Peón de Dama - Mason | 1-0 | D00 | |
| 2017.10.22 | Helgason, R. (2294) vs (2161) Cederberg, KO. TCh-SWE Elitserien India - Mejicana | 1-0 | A50 | |
| 2017.10.21 | Helgason, R. (2294) vs (2352) Engqvist, T. TCh-SWE Elitserien Nimzo-India Leningrado - Gambito | 1-0 | E30 | |
| 2020.01.29 | Kjartansson, Matthias Bjorgvin (1036) vs (1672) Helgason, Jon Thor Reykjavik Congress 2020 Española Morphy - Anderssen | 1/2-1/2 | C77 | |
| 2020.02.02 | Helgason, Jon Thor (1672) vs (1114) Jonsson, Thorsteinn Emil Reykjavik Congress 2020 Peón de Rey Irregular - Owen | 1-0 | B00 | |
| 2020.01.26 | Helgason, Jon Thor (1672) vs (1241) Omarsson, Adam Reykjavik Congress 2020 Robatsch - Pequeño Centro | 0-1 | B06 | |
| 2018.11.09 | Hedin, G (2180) vs (2303) Helgason, R TCh-SWE Elitserien Holandesa Bird | 1-0 | A03 | |
| 2020.01.22 | Sigurvaldason, Hjalmar (1469) vs (1672) Helgason, Jon Thor Reykjavik Congress 2020 Gambito de Dama Rehúsado Ragozin | 1-0 | D38 | |
| 2018.11.10 | Helgason, Jon Thor (1692) vs (1544) Hirsch, Jonathan TCh-ISL Div 2 2018-19 Caro-Kann | 0-1 | B10 | |
| 2019.10.19 | Helgason, R (2263) vs (2351) Cederstam Barsk, Carl TCh-SWE Elitserien Reti Simétrica - India de Rey | 1-0 | A05 | |
| 2019.10.20 | Namini, A (2249) vs (2263) Helgason, R TCh-SWE Elitserien Inglesa Agincourt | 0-1 | A13 | |
| 2018.11.10 | Finnsson, Johann Arnar (1735) vs (1692) Helgason, Jon Thor TCh-ISL Div 2 2018-19 Siciliana Inglesa | 1-0 | A20 | |
| 2015.03.22 | Engstrom, K. (2261) vs (2327) Helgason, R. TCh-SWE Elitserien Caro-Kann - Panov Acelerado | 0-1 | B10 | |
| 2015.03.21 | Helgason, R. (2327) vs (2241) Landgren, A. TCh-SWE Elitserien Gambito de Dama Rehúsado - Semi-Eslava Antigua Marshall (Gambito Eslavo) | 1-0 | D31 | |
| 2015.03.20 | Wieweg, J. (2167) vs (2327) Helgason, R. TCh-SWE Elitserien Caro-Kann - Maroczy | 0-1 | B12 | |
| 2020.02.27 | Ratsma, Rosa (2280) vs (2275) Helgason, R Utrecht Masters 2020 Caro-Kann - Dos Caballos | 1-0 | B11 | |
| 2016.03.05 | Sigurjonsson, Si (1978) vs (1704) Helgason, Jon Thor TCh-ISL Div 2 2015-16 Caballo de Rey - Gambito Escocés | 1-0 | C44 | |
| 2016.03.04 | Helgason, Jon Thor (1704) vs (1769) Magnusson, Thorlakur TCh-ISL Div 2 2015-16 Siciliana - Rossolimo | 1-0 | B30 | |
| 2018.11.09 | Ingvarsson, Kjartan (1818) vs (1692) Helgason, Jon Thor TCh-ISL Div 2 2018-19 Gambito de Dama Rehúsado Semi-Pillsbury | 1-0 | D53 | |
| 2019.03.02 | Moller, Agnar T (1938) vs (1663) Helgason, Jon Thor TCh-ISL Div 2 2018-19 Reti | 1/2-1/2 | A04 | |
| 2016.03.19 | Helgason, R. (2363) vs (2282) Eriksson, A. TCh-SWE Elitserien 2015-16 Nimzo-India Gligoric | 0-1 | E54 | |
| 2016.03.18 | Hedin, G. (2146) vs (2363) Helgason, R. TCh-SWE Elitserien 2015-16 Nimzovich - Clásica | 1/2-1/2 | A01 | |
| 2018.03.03 | Helgason, Jon Thor (1696) vs (2046) Thorhallsson, P TCh-ISL Div 2 2017-18 Siciliana | 0-1 | B50 | |
| 2018.11.10 | Helgason, R (2303) vs (2322) Moreau, Teodor TCh-SWE Elitserien Gambito Volga Aceptado - Gambito Volga Aceptado | 1-0 | A58 | |
| 2017.03.04 | Helgason, Jon Thor (1694) vs Steingrimsson, Bjorg TCh-ISL Div 2 2016-17 Española - Cozio | 1-0 | C60 | |
| 2017.03.04 | Karlsson, Jon Einar (1687) vs (1694) Helgason, Jon Thor TCh-ISL Div 2 2016-17 Gambito de Dama Rehúsado | 0-1 | D30 | |
| 2017.03.03 | Hauksdottir, Hrund (1758) vs (1694) Helgason, Jon Thor TCh-ISL Div 2 2016-17 Italiana - Semi-Italiana | 1-0 | C50 | |
| 2018.03.03 | Helgason, Jon Thor (1696) vs (2104) Jonsson, Gauti Pall TCh-ISL Div 2 2017-18 Siciliana | 0-1 | B40 | |
| 2020.02.13 | Lombaers, P (2383) vs (2275) Helgason, R Utrecht Masters 2020 Peón de Dama - Mason | 1-0 | D00 | |
| 2018.11.11 | Johansson, David (2132) vs (2303) Helgason, R TCh-SWE Elitserien Francesa Paulsen - Steinitz | 1/2-1/2 | C11 | |
| 2015.09.26 | Kolka, Dawid (1819) vs (1715) Helgason, Jon Thor TCh-ISL Div 2 2015-16 Steinitz Española | 1/2-1/2 | C62 | |
| 2015.09.26 | Helgason, Jon Thor (1715) vs (1739) Sigurthorsson, Krist TCh-ISL Div 2 2015-16 Pirc Dos Caballos | 0-1 | B08 | |
| 2015.09.26 | Helgason, Jon Thor (1715) vs (1724) Lee, GK. TCh-ISL Div 2 2015-16 Española Berlin | 0-1 | C65 | |
| 2015.09.25 | Fivelstad, Jon Olav (1928) vs (1715) Helgason, Jon Thor TCh-ISL Div 2 2015-16 Gambito de Dama Rehúsado | 1-0 | D31 | |
| 2020.01.05 | Helgason, Jon Thor (1672) vs (2197) Briem, Stephan Reykjavik Congress 2020 Escandinava | 1/2-1/2 | B01 | |
| 2016.10.02 | Magnusson, Jon (1884) vs (1704) Helgason, Jon Thor TCh-ISL Div 2 2016-17 Española Chigorin - Española Chigorin | 1-0 | C97 | |
| 2016.10.02 | Helgason, Arnor Gaut vs (1954) Valtysson, T. TCh-ISL Div 2 2016-17 Caro-Kann | 0-1 | B10 | |
| 2016.10.01 | Grimsson, Grimur (1752) vs Helgason, Arnor Gaut TCh-ISL Div 2 2016-17 Nimzovich - Clásica | 1-0 | A01 | |
| 2016.10.01 | Helgason, Jon Thor (1704) vs (1910) Eiriksson, S. TCh-ISL Div 2 2016-17 Siciliana Dragón | 0-1 | B70 | |
| 2019.10.18 | Karlsson, L (2449) vs (2263) Helgason, R TCh-SWE Elitserien Holandesa Bird | 1/2-1/2 | A03 | |
| 2012.10.07 | Andersson, Tom (2311) vs (2332) Helgason, R. TCh-SWE Elite 2012-13 Peón de Dama Cerrada - Peón de Dama Cerrada | 0-1 | D04 | |
| 2012.10.06 | Helgason, R. (2332) vs (2214) Norberg, Er TCh-SWE Elite 2012-13 Robatsch - Geller | 1/2-1/2 | B06 | |
| 2012.10.05 | Cicak, S. (2572) vs (2332) Helgason, R. TCh-SWE Elite 2012-13 Caro-Kann - Panov Acelerado | 1-0 | B10 | |
| 2013.03.17 | Helgason, R. (2332) vs (2213) Eriksson, Jor TCh-SWE Elite 2012-13 India de Rey Schwarz (Makogonov) | 1/2-1/2 | E71 | |
| 2013.03.16 | Westerberg, J. (2314) vs (2332) Helgason, R. TCh-SWE Elite 2012-13 Caro-Kann Caballo Clásico - Spassky | 1/2-1/2 | B19 | |
| 2013.03.15 | Kenneskog, Theodor (2203) vs (2332) Helgason, R. TCh-SWE Elite 2012-13 Gambito de Dama Rehúsado - Charousek | 0-1 | D31 | |
| 2012.10.07 | Andersson, Tom (2311) vs (2332) Helgason, R. TCh-SWE Elite 2012-13 Peón de Dama Cerrada - Peón de Dama Cerrada | 0-1 | D04 | |
| 2012.10.06 | Helgason, R. (2332) vs (2214) Norberg, Er TCh-SWE Elite 2012-13 Robatsch - Geller | 1/2-1/2 | B06 | |
| 2012.10.05 | Cicak, S. (2572) vs (2332) Helgason, R. TCh-SWE Elite 2012-13 Caro-Kann - Panov Acelerado | 1-0 | B10 | |
| 2010.10.10 | Livner, A. (2324) vs (2342) Helgason, R. TCh-SWE Elitserien 2010-11 Gambito de Dama Rehúsado - Charousek | 1-0 | D31 | |
| 2010.10.09 | Helgason, R. (2342) vs (2226) Johansson, G1. TCh-SWE Elitserien 2010-11 Eslava | 1/2-1/2 | D10 | |
| 2010.10.08 | Nilsson, Andr (2244) vs (2342) Helgason, R. TCh-SWE Elitserien 2010-11 Gambito de Dama Rehúsado - Charousek | 0-1 | D31 | |
| 2000.02.27 | Helgason, R. (2350) vs (2497) Feigin, Mi NED-chT Reti Zukertort - Mejicana | 0-1 | A06 | |
| 2000.02.26 | Helgason, R. (2350) vs (2389) Douven, R. NED-chT Inglesa Erizo - Nimzovich | 0-1 | A17 | |
| 2000.02.06 | Helgason, R. (2350) vs (2558) Van der Wiel, J. NED-chT Reti Zukertort - Mejicana | 1/2-1/2 | A06 | |
| 2000.02.05 | Visser, Y. (2406) vs (2350) Helgason, R. NED-chT Cuatro Caballos | 1/2-1/2 | C47 | |
| 1999.10.01 | Helgason, R. (2350) vs (2252) Abolianin, A. Belgian Interteams 1999-2000 Peón de Dama Irregular - Kotov | 0-1 | A40 | |
| 2000.02.20 | Helgason, R. (2350) vs (2446) Hausrath, D. Belgian Interteams 1999-2000 Fiancheto de India de Rey - Bronstein | 0-1 | E62 | |
| 2000.01.09 | Helgason, R. (2350) vs (2510) Winants, L. Belgian Interteams 1999-2000 Reti | 0-1 | A04 | |
| 2004.02.28 | Semcesen, D. (2244) vs (2326) Helgason, R. TCh-SWE 2003-4 Caro-Kann - Goldman | 0-1 | B11 | |
| 2003.10.04 | Jelling, E. (2400) vs (2336) Helgason, R. ECC Caballo Indio | 1/2-1/2 | A46 | |
| 2003.10.03 | Salmensuu, O. (2410) vs (2336) Helgason, R. ECC Caro-Kann - Avance (Van der Wiel) | 1/2-1/2 | B12 | |
| 2003.10.02 | Helgason, R. (2336) vs (2404) Poldauf, D. ECC Fiancheto de India de Rey (Clásica) - Fiancheto de India de Rey (Clásica) | 0-1 | E68 | |
| 2003.10.01 | Helgason, R. (2336) vs (2378) Bitansky, I. ECC Fiancheto de India de Rey (Panno) - Fiancheto de India de Rey (Panno) | 1/2-1/2 | E63 | |
| 2003.09.29 | Helgason, R. (2336) vs (2302) Bjornsson, S. ECC India India Oriental - Torre | 0-1 | A48 | |
| 2003.09.28 | Kasimdzhanov, R. (2664) vs (2336) Helgason, R. ECC Gambito de Dama Aceptado Clásica | 1-0 | D26 | |
| 2003.01.18 | Helgason, R. (2336) vs (2354) Moberg, K. Tch-SWE 2002-3 India India Oriental - Torre | 1-0 | A48 | |
| 1992.01.01 | Wessman, R. vs Helgason, Reynir Sweden Reti | 1-0 | A04 | |
| 1992.01.01 | Wells, P. vs Helgason Cappelle Nimzo-India - Kmoch | 1-0 | E20 | |
| 1996.01.01 | Thornert, Hakan vs Helgason, Reynir Sweden Tch-9596 Escandinava | 0-1 | B01 | |
| 1995.01.01 | Sokolov, I. vs Helgason, R. Nederland tt Nimzo-India Noa | 1-0 | E34 | |
| 1994.01.01 | Van Esch, B. vs Helgason, R. Nederland tt India Irregular - Blumenfeld | 0-1 | E10 | |
| 1995.01.01 | Van der Sterren, P. vs Helgason, R. Nederland tt India Irregular - Blumenfeld | 1-0 | E10 | |
| 1994.01.01 | Van de Doel, E. vs Helgason, R. Nederland tt Nimzo-India St. Petersburg Rubinstein (Normal) | 1/2-1/2 | E48 | |
| 1996.01.01 | Piket, M. (2406) vs (2345) Helgason, R. Nederland tt Apertura Benko | 1/2-1/2 | A00 | |
| 1993.01.01 | Rogers, I. vs Helgason, Reynir Malmo Alekhine - Intercambio | 1-0 | B03 | |
| 1993.01.01 | Rozentalis, E. vs Helgason, Reynir Malmo Siciliana Alapin | 1-0 | B22 | |
| 1988.01.01 | Olesen, Martin vs Helgason, Reynir Limhamn Budapest - Alekhine | 1-0 | A52 | |
| 1991.01.01 | Olausson, Claes vs Helgason, Reynir Sweden Bogo-India | 0-1 | E11 | |
| 1993.01.01 | Romanishin, O. vs Helgason, Reynir Malmo Caballo Indio | 1-0 | A46 | |
| 1992.01.01 | Laurent, Hugues vs Helgason, Reynir Cappelle Siciliana Cerrada | 1/2-1/2 | B25 | |
| 1994.01.01 | Kuijf, R. vs Helgason, R. Nederland tt India | 0-1 | A45 | |
| 1992.01.01 | Lundberg, Bengt vs Helgason, Reynir Sweden Siciliana Cerrada - Zukertort | 1-0 | B23 | |
| 1985.01.01 | Hoi, C. vs Helgason, Reynir Malmo Peón de Dama Richter-Veresov - Veresov | 1-0 | D01 |