 Kọ itẹsiwaju fun paragirafi yii - Awọn kirediti fiimu rẹ ti o tẹle pẹlu Ọpọlọ ti Ọgbẹni Soames 1970, A Season in Hell 1971, Awọn ipade pẹlu Awọn ọkunrin Iyalẹnu 1979, ati The Hit 1984, eyiti o gba Ẹbun Mystfest fun Aṣere Ti o dara julọ, ti o pin pẹlu John Hurt ati Tim Roth. Pẹlupẹlu ni ọdun 1984, o ni anfani lati ṣe ipa Eṣu ni cameo ni The Company of Wolves. Ó tún fara hàn nínú Link 1986, Legal Eagles 1986, The Sicilian 1987, àti ipa bíi Sir Larry Wildman nínú Wall Street 1987. Ó ṣe bí ẹni tó ni oko oko, John Tunstall, nínú Young Guns 1988. Fiimu rẹ Beltenebros 1992 aka Prince of Shadows, ni a fun ni Ẹru fadaka ni 42nd Berlin International Film Festival : ó ṣe tán. Stamp bẹrẹ ọdun kẹrin rẹ gẹgẹbi oṣere ti o wọ diẹ ninu awọn aṣọ ti o yan julọ ti Tim Chappel ti o gba Ẹbun Academy fun awada The Adventures of Priscilla, Queen of the Desert 1994 eyiti o ṣe alabapin pẹlu Guy Pearce ati Hugo Weaving. 