In 2010, he moved from presenting live football on Channel 5 to fronting the BBC's Match of the Day 2 Sunday night highlights show.

In 2013, Murray announced he was leaving Radio 5 Live to move to commercial rival Talksport, taking up the 10 am – 1 pm slot vacated by Richard Keys and Andy Gray.

Murray announced via Twitter in July 2016 that he was to leave Talksport in September 2016, following the takeover of the station by News Corp.

[6] He said on the 5 September 2022 edition of Countdown that for two days his name was Luke Wright, until "a family member pointed out that was a direction"; he later took his stepfather's surname.

[6] Hyperactive since childhood, Murray was asked to leave the grammar school owing to what was perceived by teachers as a tendency to disruption – always asking awkward questions or telling jokes – traits he later identified as ideal for his future career in presenting, and which he felt should really have been nurtured by teachers.

[6] While at RI:SE he continued to co-host the evening session in Northern Ireland with Donna Legge one day a week, commuting between the province and the Channel 4 studios near Heathrow.

[9][17] He was inevitably compared with the late holder of the slot, John Peel; Murray stated "What I like is that it's always represented honesty, and never been influenced by what's supposed to be cool at the time.

[9] From February 2008, Murray also began presenting a weekly late-night music show on BBC Radio Ulster in Northern Ireland.

[22][23] In sports television, Murray has also presented coverage of late-night American Football and the European Poker Tour for Channel 5.

[12] From January 2010, Murray has also presented the BBC's televised coverage of the annual BDO World Darts Championship, alongside Bobby George.

[12] As a narrator, Murray has appeared on the BBC television series Can't Take It With You, and Boys Will Be Girls on E4.

On 22 January 2013, it was announced that Murray would be replaced as presenter of Match of the Day 2 by Mark Chapman, the change commencing at the end of the 2012–13 season.

The episode concerned was a special live outside broadcast, as opposed to the usual recorded studio format; consequently, the habitual advance checks on content had not been performed.

Murray hosted alongside Stuart Pearce and Perry Groves on Monday (previously Mike Tindall), Des Kelly and Michael Gray on Tuesday, Steve Bunce and Didi Hamann on Wednesday, Daley Thompson and Danny Murphy on Thursday (previously Kelly Sotherton), and Bob Mills and Perry Groves on Friday.

Despite a popular and successful run with Talksport, Murray announced he would be leaving the station with his final show being on 2 September 2016.

Murray's decision to leave was triggered by the purchase of Talksport by Rupert Murdoch's News Corp,[33] who in turn owns The Sun.

Murray, a Liverpool fan, stated that he was concerned by the "inevitable closer association of the station with the Sun newspaper".

On 12 September, Murray announced via his Twitter feed that he would be returning to BBC Radio 5 Live to host Fighting Talk.

[34] In early 2023, Murray announced his resignation from Fighting Talk and Rick Edwards took over from its return from summer recess in September 2023.

[35] Murray also hosted the late evening show from 22.30 to 1.00 Monday to Thursday until January 2023, which (during lockdown) included a virtual pub called The Lock-Inn which was broadcast via radio and Zoom.

[36] Murray has continued his journalism work into his presenting career by writing a monthly "radio diary" piece for The Guardian newspaper.

He appears on Fridays with frequent FT panellist Greg Brady and Jim Lang wherein he discusses the week's big sporting topics in the UK, as well as the upcoming weekend's Premier League (or either international, FA Cup or League Cup) action.

In 2002, Murray was named IPR Northern Ireland Entertainment Journalist of the Year, for his long-running music column in the Irish Sunday People.