The film scooped the best film, best director and best actor awards, alongside best sound and best cinematography.
"Mad Max: Fury Road" earned four awards, while "Carol," which had led the nominations, was among the few titles shut out entirely.
Stephen Fry was, again, the evening's main host, but the other presenters included Tom Cruise, Idris Elba (who missed out on a best supporting actor to Mark Rylance) and Cuba Gooding Jr.
There were several comedic digs at the Oscars diversity debate throughout, including ones from Rebel Wilson and Sacha Baron Cohen
. The evening also saw Sidney Poitier receive the BFI Fellowship, but the iconic actor was too ill to attend so accepted the award in a video.
In honor of the evening clashing with Valentine's Day, BAFTA set up a "Kiss Cam," which was aimed at real-life couples, including Fassbender and Vikander, and less likely pairings, such as Maggie Smith and Leonardo DiCaprio.
"This year, the stars have colluded and collided in such a way to make the BAFTAs coincide with Valentine's Day," said Fry. "Love between two women, love between roman catholic priests ... and... their lawyers."
Here is the complete winners list:
Leonardo DiCaprio, "The Revenant"
Brie Larson, "Room"
Alejandro G. Inarritu, "The Revenant"
Best Supporting Actor
Mark Rylance, "Bridge of Spies"
Best Supporting Actress
Kate Winslet, "Steve Jobs"
Best Foreign Film
"Wild Tales" (Argentina-Spain)
Best Animated Film
Best Original Screenplay
Tom McCarthy and Josh Singer, "Spotlight"
Best Adapted Screenplay
Adam McKay and Charles Randolph, "The Big Short"
Emmanuel Lubezki, "The Revenant"
Best Costume Design
Jenny Beavan, "Mad Max: Fury Road"
Best Production Design
Colin Gibson and Lisa Thompson, "Mad Max: Fury Road"
Best Special Visual Effects
Chris Corbould, Roger Guyett, Paul Kavanagh and Neal Scanlan, "Star Wars: The Force Awakens"
Lon Bender, Chris Duesterdiek, Martin Hernandez, Frank A. Montaño, Jon Taylor and Randy Thom, "The Revenant"
Margaret Sixel, "Mad Max: Fury Road"
Best Make-Up and Hair
Lesley Vanderwalt and Damian Martin, "Mad Max: Fury Road"
Outstanding British Film in 2016
Outstanding Debut by a British Writer, Director or Producer
Naji Abu Nowar (writer/director) and Rupert Lloyd (producer), "Theeb"