Corbett boxed for Ireland as an amateur before turning professional in December 1994, winning his first fight at the G-Mex Leisure Centre, Manchester, England, in which he knocked out Donaster's David Jules on a card that included Eamonn Loughran and Chris Eubank.
After successfully defending that title against Nigel Rafferty and Noel Magee, Corbett added the Commonwealth cruiserweight championship to his resume with a win over the then-undefeated Chris Okoh.
In addition to this, Corbett also won the lightly regarded IBO (International Boxing Organization) Inter-Continental Cruiserweight Championship.
In March 1999, Corbett's next fight saw him also lose his IBO Inter-Continental Championship to a relative novice in Stephane Allouane, but he rebounded later that year by defeating future British & Commonwealth Light-Heavyweight Champion Neil Simpson to win the IBO Inter-Continental Light-Heavyweight Title, a belt he never lost in the ring.
On 19 May 2009 he competed in the first cruiserweight instalment of the 'Prizefighter' series, defeating the former Southern Area Heavyweight Champion Micky Steeds on a 3-round points decision in the quarter-finals before losing on a 2nd-Round stoppage to the unfancied Ovill McKenzie in the semi-finals.