Born in Littleborough, Lancashire, Lucketti started his professional career with Halifax Town where he made 78 appearances between 1991 and 1993. In 1993, he moved to Bury; there he made a total of 235 first-team appearances, winning back-to-back promotions in the 1995–96 and 1996–97 seasons. In 1999, he joined Huddersfield Town and made 76 appearances for the Terriers, scoring twice, against Scunthorpe United in the League Cup and Crystal Palace in the league.
Lucketti moved to Preston North End in a £750,000 deal from Huddersfield at the start of the 2001–02 season. He played over 200 times for the Deepdale club. In the 2004–05 season, he formed formidable partnerships with both Claude Davis and Youl Mawene in the Preston defence, helping his team to the Play-off final at Millennium Stadium in Cardiff.
In March 2006, Lucketti joined Sheffield United for the remainder of the 2005–06 season, making three first-team appearances before signing a one-year deal on 1 June 2006 with the Blades with both clubs agreeing to a fee of £250,000. Lucketti made his first-team debut for the Blades whilst on loan, appearing in the 1–1 home draw with Leeds United on 18 April 2006. He was used as defensive cover and as such only made irregular first team starts, deputising for injured regulars or in League or FA Cup matches. On 13 January 2007, he made his Premiership debut at the age of 35 against Portsmouth and went on to make a handful of Premiership appearances over the rest of the season. In July 2007, after being linked with a moved to Hull City, he signed a new one-year contract. Despite being re-signed by newly appointed manager Bryan Robson, he featured even less for the Blades under the new boss. He scored what turned out to be his only United goal in the League Cup against MK Dons on 28 August 2007. On 27 March 2008, he signed on loan until the end of the season for Southampton, making four appearances for the Saints. Under the terms of his loan deal he was eligible to play in the final game of the season between Sheffield United and Southampton, a match which both sides desperately needed to win to try to finish in the play-offs and to avoid relegation respectively, but Lucketti opted to declare himself unavailable for the match to avoid a conflict of interests.
Return to Huddersfield
On 4 July 2008, Lucketti signed a two-year deal at Football League One side Huddersfield Town, seven years after leaving them to join Preston North End. He returned on a free transfer after Sheffield United agreed to cancel the last year of his contract. The following day, he was appointed club captain of the Terriers. He made his second Town debut in the 1–1 draw against Stockport County at the Galpharm Stadium on 9 August 2008. On 25 October, he was sent off in a league match against Peterborough United, where Town lost 4–0. He didn't reappear in the Town first team until 28 February 2009, when he came on as a substitute in the 1–1 draw against Stockport County at Edgeley Park. After being left out of Lee Clark's squad for the whole of the 2009—10 season, he left the club on 17 May 2010.
Managerial career
Bury
After a spell as assistant manager at Scunthorpe United, on 22 November 2017, Lucketti was appointed as manager at Bury replacing Lee Clark. His contract, along with that of assistant Joe Parkinson, was terminated by the club on 15 January 2018