The Master, Lincoln and Argo have also received nods from the Boston Society of Film Critics (BSFC), New York Film Critics Online (NYFCO) and Los Angeles Film Critics Association (LAFCA).
BSFC and NYFCO named Zero Dark Thirty as best film of the year, with Kathryn Bigelow named as best director by both organisations.
The latter group also honoured Mark Boal for his screenplay.
LAFCA's film of the year was Amour - which lately dominated the European Film Awards - and named The Master's Paul Thomas Anderson as its best director.
Daniel Day-Lewis was praised for his starring role in Lincoln by NYFCO and BSFC, while the LAFCA gave the nod to The Master's Joaquin Phoenix.
8-year-old Quvenzhané Wallis was given NYFCO's 'Breakthrough Performer' award for her starring role in Beasts of the Southern Wild.
Zero Dark Thirty also took the 'Best Picture' and 'Best Director' awards from the New York Film Critics Circle earlier this week.