The films will compete with "Atonement" and "There Will Be Blood" for the best-picture honor.
"Hairspray" was shut out of the major nominations/ Fellow critical favorites "American Gangster," "Into the Wild" and "Sweeney Todd" each earned only one nod in the top categories.
"Gangster" ensemble player Ruby Dee earned a nomination for best supporting actress, "Wild" co-star Hal Holbrook got a nod for best supporting actor and "Sweeney Todd" leading man Johnny Depp was nominated for best actor.
George Clooney was nominated for best actor for his work in "Michael Clayton", the drama's writer-director Tony Gilroy was named in the directing and best original screenplay categories and Tilda Swinton earned a nod for best supporting actress.
Javier Bardem garnered a nod for best supporting actor for his role in "No Country for Old Men" and the thriller's co-writers-directors Ethan and Joel Coen earned nominations for best adapted screenplay and best director.
Cate Blanchett got nominations for best supporting actress and best actress for her work in "I'm Not There" and "Elizabeth: The Golden Age," respectively.
"Atonement" picked up a nomination for the best supporting actress award for Saoirse Ronan and another for best adapted screenplay.