While playing for Celtic against Jeunesse Esch of Luxembourg in the qualifying round of the 2000-01 UEFA Cup, Burchill scored the fastest-ever hat-trick in a European club match.
The signing of £6 million Chris Sutton further pushed Burchill down the pecking order, and in September 2000 he moved to Birmingham City on a three-month loan, making his debut in a 2–0 home win over Tranmere Rovers.
[14] He recovered in time to start the 2002–03 season in fantastic form, but under new manager Harry Redknapp he fell down the pecking order and was made available for transfer.
[26] On 6 July 2005, he joined Dunfermline Athletic[27] where he scored 12 league goals in 31 games in his first season, despite the club struggling in the bottom half of the table.
[28] In April 2008, Dunfermline manager Jim McIntyre announced that Burchill had been offered a new contract but had decided to leave the Scottish First Division side in order to "pursue other avenues".
[29] On 11 June 2008, Burchill signed a two-year deal with Rotherham United, where he previously enjoyed a loan spell during their Championship campaign.
In July 2009 Burchill joined the Scottish Premier League team in Italy for pre-season training, was reported to be "looking very sharp",[33] and signed a one-year deal with the club in August.
On 1 September 2010 Burchill, having received several offers to move abroad, agreed to sign for Cypriot First Division side Enosis Neon Paralimni.
In October 1999, Burchil made his debut for the senior side as 79th minute substitute in European Championship Qualifier against Bosnia And Herzegovina.
[43] When technical director Richard Hughes moved to Liverpool prior to the 2024–25 season, Burchill followed him to join the club's scouting team.