The BFI are running a major season devoted to Jean-Luc Godard from January to March. This film is on an extended run from January 1st to 28th. Full details here.
For the director's early years' output I'm using this article by David Parkinson as a guide and choosing his selections for the Capital Celluloid picks in the first week of the year.
Chicago Reader review:
A tense, sensitive, and rigorous film by Jean-Luc Godard, based on Alberto Moravia's novel A Ghost at Noon. Michel Piccoli stars as a French screenwriter unable to counter the contempt that his wife (Brigitte Bardot) builds for him as he humbles himself before a producer (Jack Palance) and a legendary director (Fritz Lang). Made in 'Scope and color at the behest of producer Joseph Levine, who expected a big commercial success, this 1963 feature begins as an unlikely project for Godard but develops (some would say degenerates) into one of his most archly stylized films.
Here (and above) is the trailer.