Baxter played on the North American circuit during the 1980s and when he participated in the British Darts Organisation he had a consistent record for reaching the final stages of their Open events.

[5] After failing to qualify for the 1993 event Baxter was seeded second for the 1994 World Championship after the top player left the BDO and to form the WDC.

He beat Burnett, Kevin Painter, Roland Scholten and Andy Fordham before losing 5–6 in the final to Raymond van Barneveld, despite having been 3-1 and 5–4 up.

He has also won a regional final of the UK Open and a PDPA Players Championship, but despite a career which has shown great potential he is yet to clinch a major televised tournament success.

However, in one of the matches of the tournament, he lost to world number two Raymond van Barneveld in a sudden-death leg in the seventh and final set.

He narrowly defeated Jelle Klaasen and Alan Tabern in the first two rounds, before taking on James Wade in the quarter-finals.

The World Grand Prix in Dublin in October 2009 saw Baxter's poor run in the competition continue as he was defeated by Steve Beaton in the opening round.

At the 2010 PDC World Darts Championship, Baxter saw off Haruki Muramatsu from Japan in round one, before beating Gary Anderson 4–0.

However, Baxter's performance was sufficient to lift him to sixth in the World Rankings, earning him automatic qualification into the 2010 Premier League.

[13] He continued his form by reaching the final of the ninth Players Championship after beating Simon Whitlock in the quarter-finals and Lewis in the semis.

[25] At the tournament he beat Ken MacNeil 9–8, Lee Palfreyman 9–6 and Jelle Klaasen 9–7 to face Raymond van Barneveld in the quarter-finals.

[27] Two successive first round losses in premier events followed at the European Championship (6–5 against Mervyn King) and the World Matchplay (10–1 against Andy Hamilton).

[38] Baxter's sole quarter-final appearance of 2015 was at the 11th Players Championship by defeating Phil Taylor 6–2, but he lost 6–3 to Dave Chisnall.

[40] Baxter's run of missed major events continued as he failed to qualify for the UK Open for the first time after he had played in every other edition since it started in 2003.

[41] He did though reach the semi-finals of the eighth Players Championship by beating the likes of Kim Huybrechts and Simon Whitlock, but he lost 6–4 to Gerwyn Price.

[42] This result ensured that he would play in one major event this year as it qualified him for the Players Championship Finals, where he was defeated 6–3 by Daryl Gurney in the first round.

[43] Baxter was placed 73rd on the Order of Merit after 2017 World Championship and played in Q School in an attempt to win his spot back on tour.

[44][45] After losing in the final round on the last day 5–0 to Kirk Shepherd, Baxter had done enough to secure a two-year Tour Card by finishing third on the Q School Order of Merit.