His role in "The Widowmaker" led to him being offered and taking many obsessive character roles; he played police officers in "Black and Blue", "Framed", "Between the Lines" and "Out of the Blue", and soldier Andy McNab in "The One That Got Away" (1996). Morrissey first met screenwriter Peter Bowker when he played Detective Sergeant Jim Llewyn in the second series of Bowker's "Out of the Blue". In 1994, he played customs officer Gerry Birch in the first series of "The Knock", and Stephen Finney in the six-part ITV series "Finney". In "Finney", Morrissey assumed the role originated by Sting in "Stormy Monday" (Mike Figgis, 1988). He was the first choice for the part and had to learn to play the double bass.