Black Narcissus because I don’t consider the Kubrick to be a British film—no matter that it was filmed there in its entirety. Just enough to swing a close decision to P&P.
My votes Abstain to avoid a tie - would've voted for I Know Where I’m Going Brazil Abstain to avoid a tie - would've voted for Kind Hearts and Coronets Black Narcissus
Hope and Glory over I Know Where I’m Going 1-0
Brazil over Time Bandits 7-3
The Ruling Class over Kind Hearts and Coronets 3-2
The Third Man The Man in the White Suit Dr. Strangelove (clearly the better film, and I am baffled at why this would be any less British than A Clockwork Orange ) Goodbye Mr. Chips
Well... American actors, American setting. ACO is quite clearly a British film. Most people wouldn't guess that Strangelove is a British film without knowing it.
ACO is probably Kubrick's "most British" film (or Barry Lyndon).
Of course, it all just boils down to how you look at it.