In 1999, at the age of 17, Murphy became the goaltender for the Great Britain National Team and played on five occasions for them in the World Junior Championships, proving himself to be a reliable last line of defence.

Murphy remained in Scotland for the 2001–2002 term, although he signed for the Dundee Stars and played alongside British hockey great Tony Hand for the first time at club level.

Murphy remained in his hometown of Dundee for the 2002–2003 season, whilst the British ice hockey organisation was undergoing considerable restructuring.

Arboga struggled in the league but managed to retain their membership in HockeyAllsvenskan through playing in the end of season relegation playoffs.

Arboga struggled financially however, prompting Murphy to return to the United Kingdom and play for the Edinburgh Capitals in the recently-established EIHL, now the top level of ice hockey in the UK following the lengthy restructuring process.

A solid season followed for Murphy, who helped the Phoenix to both the Knockout and Challenge Cup finals and once again was awarded Best British Goaltender.

Despite the on-ice success, the Phoenix withdrew from the EIHL at the end of the season in favour of playing in the EPL, going on to sign Steve Fone as first choice goaltender.

After over a decade in Belfast, in March 2021, Murphy was signed by fellow EIHL side Manchester Storm as one of their back-up netminders for the 2021 Elite Series.