- Western District Champion 1986
- Scottish Champion 1989, 1990, 1991
- 1989 Norway Box Cup (Silver Medal)
- 1989 European Championships (Athens)
- 1989 Canada Cup
- 1989 Diamond Jubilee (Gold Medal - Belfast)
- 1990 ABA Final
- 1990 Commonwealth Games (Auckland)
- 1990 Canada Cup (Bronze Medal)
- 1990 World Cup (Bombay)
- 1991 European Championships (Bronze Medal - Gothenburg)
- 1991 Canada Cup (Bronze Medal)
- 1991 World Championships (Sydney), fought against Ireland, England, Wales, USA, East Germany.
Weir turned professional in 1992 and captured the vacant WBO minimumweight title in his sixth professional fight, with a TKO win over Fernando Martinez in 1993. He defended the belt once against Lindi Memani and relinquished the belt before moving up in weight to challenge Josue Camacho for the WBO light flyweight title. He lost the bout, but Camacho vacated the belt and he defeated Paul Oulden for the vacant WBO light flyweight title in 1994. He defended the belt once against Ric Magramo before losing it to Jacob Matlala, after Weir was unable to continue due to a deep cut from an accidental headbutt in the fifth round. They rematched the following year and Weir lost via TKO in the tenth.
In 2010, Weir returned to boxing as a trainer. Weir's fighters include Craig Docherty, Kriss Hughes, Jonathan Slowey, Jason Hastie, Alexander White and Derry Mathews (British Lightweight Champion).
- Jim Black, "Former champion Weir relishes new role", BBC Sport Scotland, 7 August 2010
|WBO Minimumweight Champion
1993 May 15 – 1, 993
|WBO Light Flyweight Champion
1994 Nov 23 – 1, 995 Nov 18
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