Continuity mistake: In close-up, Illya is covering the phone receiver with his left hand, but drops the hand to his side when he tells the operator, "Never mind." There's an immediate cut to a wider angle, and his left hand is suddenly back on the receiver in the same position as before.
Factual error: The intro screen says we're in Hong Kong as a ship with Illya trapped aboard steams out of the harbor. We then cut to an exterior shot of the ship departing what we've just been told is Hong Kong - with, unmistakably, the Golden Gate Bridge in the background.
Deliberate mistake: In scenes at U.N.C.L.E. headquarters, the badge on Napoleon's lapel has the number 11 on it instead of the number 2, implying that Napoleon is in the wrong section. This is actually because during filming, Robert Vaughn believed that the number was "2" in Roman numerals (e.g. "II").
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