Evison made his World Championship debut in 1988, and went on to reach the quarter-finals, before losing to the eventual champion, Bob Anderson. Evison returned to the same stage the following year, only to be defeated by Eric Bristow in a close quarter-final match. Evison avenged this defeat in the final of the prestigious Winmau World Masters later in 1989, to take the title. However, 1989 was the year of the big slump in darts' television coverage and prize money. As a result, Evison's 1989 World Masters win was not televised, and he received only half of the prize money that the 1988 World Masters champion, Bob Anderson, had received for winning the tournament the year before Evison. Evison was one of the tournament favourites to win the 1990 World Championship. However, despite hitting a 170 checkout, Evison was beaten in the first round by Jack McKenna. Evison had a dip in form at the World Championship between 1990 and 1992, failing to get to the quarter finals in any of the three, despite a first round win over John Lowe in 1991. Evison failed to qualify for the last unified World Championship in 1993.