Continuity mistake: When Solo begins trying to seduce the dancing girl with the line, "We shall taste paradise," he's standing at least a foot away from her. But in the very next shot, they're suddenly in a clinch: her hands are on his cheeks and they're about to kiss.
Other mistake: Aboard the plane in the beginning, Illya calls to report in, and forgets his own secret agent number. He tells the communicator, "This is Number 2 Section 1." This is a little like James Bond suddenly calling himself Double-O-Six. Illya worked for Section 2, and was always Number 2 Section 2. Maybe that's just what happens when you're a TV spy and get hit over the head too many times.