Richard E Grant, Rachel Weisz and Christian Bale lost out on the acting awards.
But there was a string of British winners in some key technical categories.
Paul Lambert and Tristan Myles shared the prize for best visual effects with two American colleagues for creating the rocket-rattling effects on First Man, about the first Moon landing.
And key crew members on Bohemian Rhapsody won the two sound awards.
John Warhurst and Nina Hartstone won best sound editing, while Paul Massey, Tim Cavagin and John Casali shared the sound mixing prize.
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