Character mistake: The Enterprise is targeted by projectiles from the planet. Spock identifies them as "plasma torpedoes", and Captain Pike reacts with surprise; "Plasma torpedoes? That's 21st century tech" and from that they all establish that the civilization they contacted is not yet capable of warp drive. Plasma torpedoes are the main weaponry of the Romulans centuries later, and Earth itself did acquire warp drive in the 21st century, so this claim and deduction don't seem to add up. (00:22:15)
Character mistake: When Rose and her friend board the plane, the stewardess offers them champagne. When she hands them their glasses, it is evident that the wine is a non-sparkling white wine, as there are no bubbles rising in the glasses. This is possibly a mistake by the stewardess, but not one that a professional would be likely to make.
The Family - S1-E6
Character mistake: The pharmacist says she's sorry, but they don't have the drug Lamotrigine in stock, so would the generic be okay?Lamotrigine is already the generic form of the drug Lamictal. (00:28:23)
Character mistake: At the police station, he refers to the officer as Sergeant Diaz, and on his way out he says, "Thank you, Lieutenant." The officer has no rank on his uniform.
Character mistake: In Season 3, Episode 10 (Careers), Leonard admits to being a beginner at bicycling. Then, he proves it by having his helmet mirror on the wrong side.