Biggins was a latecomer to league football, for although he began his career with Lincoln City he played just eight games for them before he was released. He then played non-league football for Matlock Town and King's Lynn while working as a hod carrier. Biggins found a way back into league football with Burnley, who signed Biggins from Matlock for a nominal fee in February 1984. He scored four goals in his first four appearances for the Lancashire club, including a hat-trick against his former side Lincoln. He was an ever-present for Burnley during the 1984–85 season but despite scoring 21 goals in all competitions he could not prevent the team being relegated to the Fourth Divisionfor the first time in the club's history. Biggins scored four goals in twelve matches at the start of the following campaign and his form attracted the attention of Norwich City, whose manager Ken Brown signed him in October 1985 for a transfer fee of £35,000. Norwich were re-building their squad after relegation from the first division and were looking to bounce back to the top flight at the first attempt. They succeeded, and Biggins ended the season with a second division championship medal. He stayed at Carrow Road until the summer of 1988 when Manchester City's new manager Mel Machin – who had until that summer been Brown's assistant at Norwich – took him to Maine Road. He scored 9 goals in 32 games for Manchester City before moving to Stoke City in August 1989 for a fee of £250,000. He was a number of expensive signings made by manager Mick Millsin the summer of 1989 as Stoke looked to gain promotion. However results were very poor and cost Mills his job and the new manager Alan Ball failed to stop Stoke's slide and they ended up being relegated to the Third Division, Biggins top-scored in 1989–90 with 11 goals. In 1990–91 Biggins was again leading goalscorer with 12 before enjoying his most prolific season in his career in 1991–92. He scored 28 goals as Stoke lost in the play-offs to Stockport County, although they did beat County in the 1992 Football League Trophy Final. Not long into the 1992–93 season, Biggins left to join Barnsley where he spent a year before joining up with Lou Macari at Celtic. Biggins endured a poor three-month spell at Celtic Park and returned to Stoke for £125,000 on transfer deadline day in March 1994, before playing out his league career with Luton Town, Oxford United and Wigan Athletic. He won a Third Division championship medal with Wigan in 1997. He went back into non-league football with Leek Town.
