Both his sons, Mark and James, were noted athletes in their respective sports, and three of his grandsons have been members of AFL squads.
A right-handed all-rounder, Brayshaw played over 100 first-class games for Western Australia, and he captained the side on several occasions.
Against Victoria during the 1967–68 Sheffield Shield season, he accomplished one of cricket's rarest feats, taking ten wickets in an innings.
He was the expert commentator on ABC Radio when Trevor Chappell bowled the infamous underarm ball during a one-day match between Australia and New Zealand.
In an accident on 20 September 2006, his 36-year-old daughter Sally was killed instantly after the facade of her garage collapsed on top of her.