Neame's film credits include appearances in two Hammer Horror films: Lust for a Vampire (1971) and Dracula AD 1972 (1972), as well as No Blade of Grass (1970), Steel Dawn (1987), D.O.A. (1988), Bloodstone (1988), the James Bond film Licence to Kill (1989), Ghostbusters II (1989), Edge of Honor (1991), Suburban Commando (1991), Hellbound (1994), Ground Zero (2000) and The Prestige (2006). He is known to television viewers in the United Kingdom and abroad for a number of roles. In 1975 he played German Kaiser Wilhelm II in the ITV 13 part drama series, Edward the Seventh.
Neame also featured in two BBC dramas dealing with the Second World War - Lieutenant Dick Player in Colditz (1972–74). In the TV film A Point in Time (1973), Neame became one of the first male actors to appear nude on the small screen. Neame played a similar character to Player, Flight Lieutenant John Curtis, in the first series of another Second World War drama, Secret Army (1977).
He also made a guest appearance in another BBC period drama When the Boat Comes In. In 1981 portraying Robin Cunningham. In 1982 he played Mark Anthony in the BBC series 'Cleopatra'.
He played a psycho killer in an episode of MacGyver in 1985, and appeared in the TV movie sequel The Great Escape II: The Untold Story in 1988. Neame played the villain Skagra in the unfinished Doctor Who serial Shada in 1979. Neame now resides in the United States, where he has made frequent appearances in American television including a two-part story of Star Trek: Enterprise in 2004.
In 1994 he portrayed "Knight Two" in the Babylon 5 episode "And the Sky Full of Stars". Neame is one of the few actors to have appeared in Doctor Who, Blake's 7, Star Trek, Babylon 5, and Earth 2. Other television appearances include The A Team, Beauty and the Beast, Northern Exposure (1994), JAG (1995), and the two-part mini-series The Apocalypse Watch (1996).
He also starred in the Showtime film Street Knight (1994) and he appeared as "The One" in the last two episodes of Martial Law (2000).