The Alfie star has been named as a contender for the coveted title for his role in Anna Christie, while Spacey's turn in Richard III and Fiennes' efforts in The Tempest are also in the running for the award.
Other stars set to battle it out with the actors include British funnyman James Corden (One Man, Two Guvnors), Dominic West (Butley) and Jonny Lee Miller (Frankenstein).
Elsewhere, former Bond girl Gemma Arterton leads the Best Actress Category for The Master Builder, alongside Kristin Scott Thomas (Betrayal), Imelda Staunton (A Delicate Balance) and Sheridan Smith (Flare Path).
Danny Boyle, Sam Mendes and Mike Leigh are on the list for Best Director. The winners will be announced at a ceremony, to be held at London's Savoy Hotel on 20 November (11).
A shortlist of the potential winners will be released on 7 November (11).