For the Athens Olympics 2004 Cureton was selected in the Australian lightweight coxless four, along with Simon Burgess and Anthony Edwards who were both making their third Olympic appearances. They qualified through to the final where Danish favourites got away in the 1st 500m. Burgess at stroke and Cureton in the three seat brought the Australian four back into contention in the second and third 500 metres. However the Danes still had something in reserve in the rush home extending their lead to 1.4 seconds at the finish. The Australians won the Olympic silver. Following his 2004 Olympic campaign Cureton was back in representative contention in 2006 and selected in the lightweight coxless four for two World Rowing Cups in Europe before the 2006 World Rowing Championships at Eton Dorney where the Australian four finished sixth. He was teamed in that crew with fellow West Australian Todd Skipworth with whom he would have a long representative partnership and success. Cureton with Edwards, Skipworth and the addition of Rod Chisholm from New South Wales, stayed together in the Australian lightweight coxless four throughout 2007 & 2008. They raced at a 2007 World Rowing Cup and then at the 2007 World Rowing Championships in Munich to a seventh placing. Their lead-up to the 2008 Beijing Olympics included a third place at the World Rowing Cup III in Poznan and a seventh place at the WRC I. In Beijing the experienced lightweight foursome didn't figure in the medals in the tough Olympic conditions, they made the B final and finished in ninth place overall. Cureton again took time off immediately after the 2008 Olympics and was back competing at the top level in 2010. He was a reserve for the Australian lightweight eight at the 2010 World Rowing Championships and competed in one event in that crew. He didn't gain a seat in either the eight or the four when they both won silver medal at those championships in Lake Karapiro. He did regain his seat in the four in 2011 and was a key part of their world championship success. They raced at the World Rowing Cup III in Lucerne to a fourth placing and then at the 2011 World Rowing Championships in Bled they staged a brilliant campaign. Second in their heat, they had to qualify for the final through a repechage and semi-final. In the final they rowed through the field from a fifth position at the 500m mark, to be 2nd at both the 1000 and 1500 and overtook the Italians in final run to take the gold medal with a 1.2 second margin.