- Created the animations used by the Monty Python comedy troupe, of which he was the only non-British member.
- While filming Brazil (1985), clashed with producers and movie execs on the film's length and tone; when he won Best Director and Best Screenplay (with Tom Stoppard and Charles McKeown) at the 1985 Los Angeles Film Critics Awards, the studio felt it had to release the movie as Gilliam intended it.
- Nominated for the Saturn Awards' Best Director three times: in 1981 for fantasy-comedy Time Bandits, in 1991 for drama The Fisher King and in 1995 for sci-fi thriller 12 Monkeys.
- Started filming The Man Who Killed Don Quixote in 2001, but never completed the movie; its troubled production became the subject of the 2002 documentary Lost in La Mancha.
- In 2004, was awarded an honorary D.F.A. from Occidental College (his alma mater) and an honorary doctorate from the Wimbledon School of Art in London.
- Renounced his American citizenship in 2006.
- Has an asteroid named for him, 9619 Terrygilliam.
- 1992, Golden Globe — Best Director - Motion Picture: Nominee
- 1985, Oscar — Best Writing (Original Screenplay): Nominee
- 1991, Toronto International Film Festival — People's Choice Award: Winner
- 1984, BAFTA Film Awards — Best Short Film: Nominee
- 2012, Taormina Film Fest — Taormina Arte Award: Winner
- 1991, Venice Film Festival — Best Direction: Winner
- 2009, BAFTA Film Awards — Academy Fellowship: Winner
- Amy Rainbow Gilliam — Daughter
- Glenys Roberts — Ex-significant Other
- James Hall Gilliam — Father
- Harry Thunder Gilliam — Son
- Holly du Bois Gilliam — Daughter
- Beatrice Gilliam — Mother
- Margaret Weston — Wife
- Occidental College, Los Angeles, California, United States (BA in Political Science, 1962)