The Sunday ceremony comes two weeks before the scheduled 2019 Academy Awards and BAFTA's decisions are often used by movie buffs as an indicator to predict the results of the more famous Oscars.
It won out against "Lord of the Rings" director Peter Jackson´s "They Shall Not Grow Old" in which silent black-and-white footage from World War I was transformed into a 3D colour movie.
"Reverting back to a world of separation and isolation is not a solution to anything", Cuaron added, at a time when U.S. President Donald Trump is demanding a wall be built on the U.S. border with Mexico.
Cuaron thanked Netflix for getting behind the film, which is in Spanish and has garnered 10 Oscar nominations, a major recognition for the streaming service. "I'm very happy that they're embracing diversity.in a time in which the theatrical experience had become so gentrified", Cuaron said on the red carpet about Netflix.
"The thing I really want to do is, Emma and Rachel (must keep this together) not just for your performances but for what you did after the cameras stopped rolling".
The period drama, which was partially filmed at the National Trust property Knole park in Sevenoaks, also picked up gongs for best British film, costume design, original screenplay, make-up and hair and production design.
Colman, who portrays the monarch as frail and tempestuous, won the Leading Actress category, a victory that had been expected by many.More news: Apparently, Jennifer Aniston Is "Very Happy" Brad Pitt Attended Her Birthday Party
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Addressing the other winners from The Favourite, she said: "We are having an incredible night aren't we?"
"This is for a lead".
"As far as I'm concerned, all three of us are the same and should be the lead.This is for all three of us".
Olivia Colman has already won a Golden Globe, British Independent Film Award and a Critics' Choice Award for her portrayal of Queen Anne as well as scooping the award for Best Actress at the Venice Film Festival. It's weird. but this is for all three of us. It's got my name on it but we can scratch in some others.
A Star Is Born won for its original music, with the film's writer, director, star and composer Bradley Cooper collecting the prize.
Despite being on home soil, Richard E. Grant did not win Supporting Actor for his role in Can You Ever Forgive Me? as Mahershala Ali was given the award instead for playing Dr Don Shirley in Green Book. Malek, who called his win "truly extraordinary", did express his gratitude to Dexter Fletcher, who stepped in for Singer but is not a credited director on the film.