[1][2][3] Moriarty later transferred from Widnes to Halifax Blue Sox, and represented Wales in two Rugby League World Cups.
He was selected to play on the interchange bench for Widnes in their 1989 World Club Challenge victory over the Canberra Raiders.
[5] After coach John Plumtree's departure in November 2001, Moriarty became player-coach, and, along with Tony Clement, ensured Swansea qualified for the 2002–03 Heineken Cup despite being fourth from bottom of the Welsh-Scottish League when they took over.
He became head coach of Principality Welsh Premiership champions Cardiff for the 2009–10 season, and although the Arms Park club qualified for the playoffs despite only finishing seventh, they fell at the first hurdle to Llanelli.
On 21 May 2010, Guinness Premiership club Newcastle Falcons announced that they had appointed Moriarty as an assistant coach to his former Widnes teammate Alan Tait.