In The Ballad of Mamluk Abdelhafidh Bouassida (1982), he played the titular role alongside Bekim Fehmiu and Irene Papas.

He also played Joseph alongside Olivia Hussey (Mary) in Franco Zeffirelli's TV Production of Jesus of Nazareth in 1977, in which he powerfully portrayed a strong, yet humble, man.

After a role alongside Klaus Kinski and Harvey Keitel, Voyagis played the kidnapper in Frantic by Roman Polanski.

In 1997 he was Agamemnon in the blockbuster television series The Odyssey, produced by Andrei Konchalovsky, and he participated with Claudia Cardinale and Guy Bedos in Rachida Krim's Under the Feet of Women.

Since then, his work has included: a movie of adventure and fantasy directed by Pupi Avati in 2001 (as Raoul Bova, Edward Furlong, Stanislas Merhar and F. Murray Abraham), Swept Away by Guy Ritchie (in the role of the captain) and Without Borders (2010) alongside George Corraface (of Greek origin) and Seymour Cassel.