Continuity mistake: The opening of the show starts with Magnum driving off with the iconic Ferrari; however it has a license plate number, 56E-478, which is not the one seen in 99% of the show. It comes from the pilot episode, where the vanity plate ROBIN-1 had yet to be introduced.
Other mistake: Throughout the entire run of the series, the very first shot of the opening contains a mistake; the helicopter's tail rotor is on the right side (mirrored), going then to its actual position (left side) for the rest of the sequence.