In his career in Britain, Bevan scored a hat-trick of tries or more in a single game 100 times. Twice he scored seven tries in a game for Warrington, which is still a club record. During his sixteen-year career with Warrington he helped the club win the Challenge Cup twice, three RL Championships, a Lancashire Cup and six Lancashire League titles. He played his last game for Warrington on Easter Monday, 1962. He came out of semi-retirement to play for Blackpool Borough between 1962–64.