[3] He played for Blackpool Borough, Barrow and St Helens in the English Championship, and the Cronulla-Sutherland Sharks in the New South Wales Rugby League competition in Australia.
Bishop played scrum-half in St Helens' 35–12 victory over Halifax in the Championship Final during the 1965–66 season at Station Road, Swinton on Saturday 28 May 1966, in front of a crowd of 30,165.
Bishop played scrum-half and scored a try in St Helens' 21–2 victory over Wigan in the 1965–66 Challenge Cup Final during the 1965–66 season at Wembley Stadium, London on Saturday 21 May 1966, in front of a crowd of 98,536.
In 1971 Bishop helped the Cronulla side secure Great Britain power front rower Cliff Watson, and the club had their best season in of their history, winning a total of ten matches.
Cronulla-Sutherland lost only five games in the whole home-and-away season and finished just one point behind eventual Minor Premiers Manly, and ahead of local rivals St George.
Coach Bishop though knew that the Cronulla side's only real hope of beating the defending Premiers Manly was for his team of youthful players to niggle and unsettle the glamour Sea Eagles.
[6] After the 1973 season, Bishop was embroiled in a contractual dispute with the financially crippled Sharks, and he moved to captain-coach Northern Suburbs in the Brisbane competition.
[15] Bishop's move to North Sydney proved a disaster from the beginning when they lost all five pre-season encounters including a 13–17 loss to a Port Kembla team.
[23] Bishop, who had established himself in Australia ever since he joined Cronulla as a player, returned to England after this double setback and coached several British rugby league teams between 1980 and 1985.