He was best known for playing Kano in the martial arts film Mortal Kombat, a live action adaptation of the popular video game series.

A punk in 1977, he helped form a band at school called The Belsen Horrors (the name of which came from a Sex Pistols track).

Bromley was closely linked with the early punk movement – first through the Bromley Contingent (the first fans of the Sex Pistols), and three famous punk singers who came from this town: Poly Styrene (X-Ray Spex), Siouxsie Sioux (of Siouxsie and the Banshees) and Billy Idol – who like Trevor, attended Ravensbourne School for Boys.

He would go on to act in other films such as Gone in Sixty Seconds, Men of War (with Dolph Lundgren and future JAG co-star Catherine Bell) and Hollywood Vampyr.

Goddard played in the television drama series JAG as Lieutenant Commander Mic Brumby and was featured in TV commercials for the Hoover FloorMate.