Before appearing in a major tournament, Evison was a contestant on Bullseye. He, along with his teammate, failed however, to get to Bully's prize board. Evison later appeared on the show in which he scored 300 points on the "Pounds for points" charity round. Evison appeared on the show again in 1989, scoring 323 points in 9 darts in the "Pounds for points" round. He appeared again one more time where he scored 306.
Evison burst on the darts scene in 1986 with a surprise victory over John Lowe in the British Professional Championship, a major televised tournament in that era.
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.
Evison failed to pass the first round of the 1999 World Championships, but reached the quarter-finals again in 2000 – losing this time to Peter Manley. For the next four years Evison lost in the first round as his career began to fade. He managed one preliminary round win in 2005 at Purfleet, before being badly beaten in a grudge match against Andy Jenkins. It was Evison's last appearance in the tournament.
Evison's best performances in the PDC came during the week in which he won the 1996 World Matchplay. He beat the defending champion, Phil Taylor, 8–1 in the second round, and beat Dennis Priestley 16–14 in the final to clinch the title, averaging over 100 in both matches. The defence of his title the following year ended with a quarter-final loss to Richie Burnett. He had further quarter-final appearances in 1999 and 2003, but he also suffered a humiliating 10–0 whitewash in the 2004 World Matchplay to Ronnie Baxter which was his last appearance in Blackpool.
Evison also reached the semi-final of the World Grand Prix in 2002 but lost 0–6 to Phil Taylor.
With his PDC world ranking falling rapidly, Evison was forced to qualify for all the PDC darts tournaments, which he failed to do for the World Championship in 2006, 2007 and 2008.
In 2008, it was announced that Evison was one of eight players to take part in the BetFred League of Legends alongside the likes of Bristow, Bobby George and Lowe. He would go on to reach the semi-finals of the tournament. It was also announced that Evison had re-joined the BDO system, becoming one of only a handful of players to return to the BDO after switching to the rival PDC. Evison took part in the BDO International Open on 15 June 2008, receiving a bye into the second round before losing to Paul Hanvidge 3–2 in legs. He reached the last 16 of the Czech Open in November 2008.
In 2009, Evison reached the last 16 of both the Isle of Man Open and the Open Holland. He then reached the quarter-finals of the Swiss Open, his best performance since returning to the BDO.
In 2012, Evison attempted to rejoin the PDC via the Qualifying School but failed to earn a tour card.
In 2018, Evison quit the PDC Challenge Tour.
Personal life
In 1986, Peter married wife Angie, who died in 2012.[citation needed]
