You're right. Not only David Niven and Woody Allen, but Peter Sellers, Ursula Andress, Deborah Kerr, George Raft, Jean-Paul Belmondo, William Holden, John Huston, Charles Boyer AND Orson Welles!!! 1967.

I was getting it mixed up with From Russia with Love and Dr No, in which Sean Connery was Bond. But then all Bond films are spoofs, so I'm not surprised at my mistake :)