Factual error: Kat morphs by calling for the Pterodactyl but she wasn't a ranger when the Pterodactyl was in use, she became the pink Ninja Ranger so her call should have been, "pink ranger power!"
Suggested correction: It's explained in the movie. Alpha made proxie power coins, in order for them to access the dino powers. She was given the Pterodactyl coin and the dino powers to get Tommy, Jason, and Kimberly back.
Visible crew/equipment: As Doric leaves the house after transforming from a cat, a crew member can be seen in the background. The crew member is casually leaning against a wall, with a red T-shirt and a face mask. (00:41:18)
Suggested correction: This person is a tiny figure on the extreme right of the screen who is on screen for a fraction of a second while the camera is panning away from him. I had to watch the scene multiple times before I saw what you are referring to. Even then, he is only identifiable if you freeze-frame the picture, thus invalidating the mistake. (At normal speed, I initially thought he was a red banner or curtain).
Continuity mistake: Before Francois writes on the whiteboard (dry-erase), the words at the top are not boxed-in (or underlined). After being boxed-in, the words are surrounded by more of an oval shape, then not highlighted at all - but the words on the third line are boxed-in, followed by being underlined 4 times, to not underlined, to being boxed-in again. (00:17:28 - 00:19:05)
Other mistake: In the Special Thanks section, Bobcat Goldthwait's name is misspelled as "Goldthwaite." (02:28:28)
Factual error: The storm chasers are meeting by the road and you see the sign for I-90 East in the background several times. This movie takes place in and around Texas, yet the route that I-90 takes is nowhere remotely close to that far south.
Continuity mistake: When Coriolanus and Sejanus are eating lunch at the Academy, Coriolanus' sandwiches switch positions several times, stacking and unstacking, and turning several times.
Audio problem: At the start, when at Ground Zero, a robot wakes up, and Joshua shuts it down. The woman he's with says, "What the hell," but her mouth says, "What the fuck," dubbed presumably for a lower rating.