Kubrick didn't consider it "a Kubrick film", thus I don't consider it a Kubrick film. It's just too slick, too "old Hollywood" somehow. He didn't get to put his stamp on the sword and sandal genre the way he did with the period film (Barry Lyndon), the black comedy (Dr. Strangelove), the horror film (The Shining), the war film (Paths Of Glory), the science fiction film (2001), or the heist film (the Killing).
Though a very American film to the core, its stylized cinematography recall classical tableaus, and the old Hollywood acting, though at times dated, conjures up grandeur of a long forgotten era. As a result, Spartacus balances its emotional bombast with a formal majesty, resulting in a story not unlike classical poetic epics.