Early on, he turned down a major role in Kubrick's Full Metal Jacket for a lead role in James Cameron's Aliens (1986) as Lt. Gorman, for which he began to receive recognition. Soon after he appeared as Kyle MacRae in the horror film Hellbound: Hellraiser 2 (1988), the sequel to Clive Barker's Hellraiser (1987).
After Hellbound, Hope went on to a number of theatrical films while working a lot on stage and in radio drama. Seen in parts in Shining Through (1992) and The Saint (1997), Sky Captain and the World of Tomorrow (2004) and xXx (2002). He co-starred in two Wesley Snipes' action epics The Marksman (2005) and The Detonator (2006) and as the villain in Steven Seagal's action movie Submerged (2005).