He won the 1989 British Open by defeating Dean Reynolds 13–6 in the final, and was runner-up to Steve Davis at the 1984 Classic.

In 1986, Meo was one of five players under Barry Hearn's management (along with Davis, Terry Griffiths, Willie Thorne and Dennis Taylor) who appeared on "Snooker Loopy", a hit single about the game recorded with Chas & Dave.

Anthony Christian Meo was born on 4 October 1959 in Tooting, London,[2][1] and started playing snooker aged 13.

[3] He was a schoolfriend of Jimmy White at Ernest Bevin Comprehensive, and the pair regularly skipped school to play snooker together.

[5] The players later signed to be managed, alongside the leading London amateur Patsy Fagan, by Henry West.

[7] At the 1978 Canadian Open, he achieved the most notable win of his career to that point by eliminating Alex Higgins in the semi-final, and led 10–6 in the final against Cliff Thorburn before losing the match 15–17.

[9] He eliminated David Taylor from the 1979 UK Championship 9–7, and then lost to the eventual champion John Virgo 6–9 in the following round.

[11] At the 1980 UK Championship, Meo eliminated defending champion Virgo 9–1 before losing to Steve Davis in the quarter-finals.

[6] The 1981 English Professional Championship saw Meo eliminate Virgo, Graham Miles and Willie Thorne to reach the final.

Meo had reached the final by eliminating Rex Williams 5–3, Kirk Stevens 5–2 and Mark Wildman 5–3.

Meo only needed to clear the colours to win the title, but missed potting the yellow ball after being distracted by a shout of "Come on, Tony" from a spectator.

[6][20] The non-ranking 1984 Malaysian Masters was the only final that Meo reached in 1984–85 snooker season, but he retained his ranking of tenth for 1985–86.

At the 1989 British Open he eliminated Colin Roscoe 5–3, then the defending champion Hendry and Peter Francisco, each by the same scoreline.

[26] In the post-match speeches, Reynolds complained that he had been "totally bored" by Meo's cautious style of play.

In 1986, Meo was one of five players under Hearn's management (along with Davis, Griffiths, Thorne and Dennis Taylor) who appeared on "Snooker Loopy", a hit single about the game recorded with Chas & Dave.