Thank Heaven for Little Girls and Big Ones Too - S1-E4
Character mistake: Higgins is extremely protective of any little trinket and bric-à-brac at the Estate, but in this episode he barely bats an eyelid at a post-impressionist masterpiece being handled casually, rolled up and passed around. He handles it pretty badly himself.
The Arrow That Is Not Aimed - S3-E13
Character mistake: At the end of the episode, Magnum says "You know what they say about samurai swords - you unsheathe 'em, you gotta draw blood!", but throughout the episode, Tozan drew his sword on Magnum and the villain and no blood has been drawn - in case of Magnum, there was no intention of it either.