At one point, Count Zarth Arn proclaims, "By sunset, I'll be the new emperor!" on a spaceship in outer space where there would technically be no sunset. Sunsets require a star and a rotating celestial body.
In one battle scene, six fighters attack. Two are destroyed, then five are shown. Two more are destroyed, but only two are shown left. After the next fighter is destroyed, the defenders claim "Got them!", then another three fighters pass by.
Stella's wardrobe changes many times during a single scene throughout the film. At one point, her leather two-piece attire has a red collar and straps across her midsection. They disappear and later reappear during the same scene.
At the end of the film, as Stella Star pilots the Flying City to the villain's space ship, she wears a long black cape. It disappears by the time she bails out wearing her space helmet, then reappears for her clinch with Simon after he picks her up.
When the characters reach the ice planet, they're told the temperature drops thousands of degrees once the sun sets.
Unless the planet's surface temperature is literally thousands of degrees, which even Mercury isn't, the most it can drop would be to absolute zero (the temperature at which a thermodynamic system has the lowest energy): -273 degrees Celsius (-273.15 °C or -459.67 °F).
When going into hyperspace for the first time, Akton gives the probabilities of various catastrophes happening to the ship: 40% total disintegration, 30% molecular ignition, 20% gamma contamination. Stella concludes that they have a 10% chance of survival. If they are independent events, then the overall probability would be calculated by multiplying the probabilities of surviving each one: 60% x 70% x 80%, resulting in 33.6%. However, there's no reason to suppose that the events are independent. It's more likely that he's stating the absolute probabilities that the ship will be destroyed by each catastrophe, in which case each figure already presumes that the other two catastrophes don't occur, and the probabilities are independent.