- 1976 ABA Welterweight Champion. Defeated Paul Kelly (England) on points in the final.
- Represented Great Britain as a welterweight at the 1976 Montreal Olympic Games. His results were:
- 1st round bye
- Defeated Christy McLoughlin (Ireland) on points 5-0
- Lost to Victor Zilberman (Romania) on points 0-5
- 1977 ABA Welterweight Champion. Defeated Archie Salmon (Scotland) on points in the final.
- Won the British Boxing Board of Control Welterweight Championship in 1980.
- Won the Commonwealth Boxing Council Welterweight Championship in 1981.
- Won the European Boxing Union Welterweight Championship in 1982.
- Fought Milton McCrory twice in 1983 for the vacant World Boxing Council Welterweight Championship. The first fight was a 12-round draw, and McCrory won the second fight by a 12-round split decision.
- Fought Donald Curry for the World Boxing Association and International Boxing Federation Welterweight Championship in 1985 and lost by a fourth-round TKO. It was Jones' last fight.