[5] An England youth international, he achieved significant status with the Norwich fans when he dyed his hair yellow and green for an Old Farm derby game against Ipswich Town in 1996 and subsequently scoring in the same fixture.

After the club dipped out of the play-off places on the final day of the season he decided his future lay with pastures new, and headed to Reading.

[13] His first full season with the U's proved to be hugely successful as the Essex club managed a 10th-place finish in the Championship, partnering Chris Iwelumo.

One of Cureton's main highlights in a Colchester shirt was the hat-trick he scored in the 3–0 away win against Essex rivals Southend United on 7 April 2007.

[17] He was signed as a replacement for Robert Earnshaw,[18] Norwich's top scorer of the 2006–07 season, who left for Derby County in a £3.5 million deal the same day.

Cureton continued to play very much a bit part during the season and one of his few goals came during the Canaries' 1–0 win at Scunthorpe United, a victory that lifted Norwich clear of the relegation places ahead of the Christmas and New Year fixtures.

Due to lack of first team football, on 27 November 2008, Cureton joined Barnsley on a 3-month loan deal,[19] but on 14 January 2009, he was recalled to Norwich City after Glenn Roeder's termination as manager.

[21] Cureton played his 100th game for Norwich City against Coventry but put in a bad performance and was dropped for the rest of the season.

Cureton spent the 2010 pre-season on trial with Exeter City, stating he would like to link up with a club closer to his Bristol home, and joined on a short-term deal in August 2010.

[28] On 24 July 2014, Cureton agreed a one-year deal with League Two side Dagenham & Redbridge, the 14th club of his senior career.

[29] Following the retirements of Ryan Giggs and Kevin Phillips and Ian Goodison's departure from Tranmere Rovers, 39-year-old Cureton was the oldest onfield player in all four of England's top divisions.

[5] Cureton signed a short-term contract with Farnborough in August 2016,[30] before moving to Eastleigh of the National League the following month.

[31] In early December, he departed Eastleigh after a change of management, and briefly re-joined Farnborough, scoring in his first game since returning to the club in a 3–2 home defeat against Hanwell Town,[32] before joining St Albans City that same month.

[33] He returned to Farnborough in April 2017 on dual registration for the remainder of the 2016–17 season,[34] and in July a permanent deal of one year was agreed.

[35] Having scored ten goals in 23 league appearances for Farnborough, Cureton joined Bishop's Stortford midway through the 2017–18 season, making his début in a 3–0 defeat to Royston Town on 1 January 2018.

[36] In April 2019, Cureton reached the landmark of 1,000 senior club appearances, scoring twice as Bishop's Stortford beat Brightlingsea Regent 3–2.

[43] Following the resignation of Adam Flint in September 2018, Cureton became manager of Bishop's Stortford alongside club owner Steve Smith, as an interim to begin with.