Continuity mistake: At the beginning of the sparring between Goku and his Grandpa, the clotheslines project clear shadows on the ground. During several shots during the silly fight (several from above when they flip around, or for instance the wide shot that follows the bug-eating bit) there's a total lack of shadows. (00:02:30 - 00:03:30)
Continuity mistake: After sparring and faceplanting into fruit, Goku follows Grandpa to his little zen garden. There was an establishing shot of the area by the training spot, shown once Gohan jumped on the ropes, and while the rocks and some gravel were visible, the little cement bed and greenery are brand new. (00:02:35 - 00:04:10)
Continuity mistake: Goku slides on the ground and gets a faceful of a mushy watermelon. When he stands, his shirt is dirty and with pulp all over, but his cheek and hair are clean and dry. (00:03:40)
Continuity mistake: When Goku calls Fuller's name for "whacking my bike", extras are recycled, appearing both behind Goku and the bullies (super-easy to spot a girl in pink and teal, with her buddy wearing a blue varsity jacket). (00:06:50)
Continuity mistake: Chi Chi sends a sad look back to the bullied Goku; you can see she is almost at the entrance, with other students turning the corner. In the following close-up of Goku, the cool kids (as much as people in the 27-32 range can be considered 'kids') have moved backwards and have still a way to go before entering. (00:07:30)
Continuity mistake: Mai walks into the ruined village. She points a gun at a harmless basket, weapon in her left hand. Change of angle, and she is now pointing the gun with her right arm before walking away. (00:09:05)
Continuity mistake: Mai takes the dragonball from the long-haired woman of the mid-aftercredits (Seki); when she comes out of the manhole, the leather pouch doesn't have its string hanging loose from the left, but it does when Mai comes closer. (00:09:50)
Plot hole: During the lesson at school, Goku learned that the eclipse is due to occur "in two weeks' time." The same night he goes to Chi Chi's party and Grandpa gets killed. The day after, he departs with Bulma for Paozu, which is pretty close to where he is (they go by motorbike). But in Paozu, Muten tells them that they have "seven days." (00:10:25 - 00:33:00)
Revealing mistake: The movie shows in Matrix-esque slo-mo the double baton swing Goku dodges, from Fuller and his goon. They are nowhere near hitting each other, and yet, this missed baseball-bat swing causes them to KO each other in close-up. (00:16:55)
Other mistake: Fuller's car "explodes" collapsing for no reason, it has been hit with a couple lead pipe swings by a creepily old teenager, never by Goku. And if Goku did it with his Ki, then he'd already have mad power levels, contradicting the rest of the movie. Even throwaway jokes (I would imagine this was supposed to be one) should at least attempt to make sense, or "not not make sense." (00:17:05)
Continuity mistake: When Goku finds his Grandpa covered in rubble, he removes a wood plank; Gohan's hand is on top of the wood at first, then more logically it is under it. Also, when Goku brings him to the dry landscape, he's clean from the dust. (00:20:00)
Continuity mistake: Goku kneels by the grave of his Grandpa. His hand is on a stone, showing a white stripe between thumb and index. In the close-up, the stone is turned differently. (00:22:15)
Other mistake: When Goku meets Bulma for the first time, he asks her "Are you Piccolo?" Gohan said that "he's returned", and since Goku knows the whole story about Nameccians, he obviously also heard the story about Piccolo tons of times. There's no possible reason why he'd mistake a girl with a gun for the powerful male-looking sorcerer mentioned by his grandfather (it'd be also pretty surprising if his Grandpa talked to him about the alien race thing but neglected to mention that they are green-skinned and distinctly non-human looking). (00:23:45)
Continuity mistake: When Goku asks Bulma "Did you kill my grandfather?" he's close enough to the doorframe to leave a shadow on it with his fist, unlike the previous shot. (00:23:46)
Continuity mistake: After battling it out a bit, Goku asks Bulma "What happened to your dragonball?" The characters stand still but the shadows have dramatically moved; Bulma's face is fully lit and Goku 's shadow has moved. (00:24:55)
Continuity mistake: Bulma and Goku talk about the upside of working together. Emmy Rossum's hair when she stands in the door is agitated by wind or not, changing position. (00:26:05)
Continuity mistake: When Bulma and Goku have just finished fighting and begun talking; watch Bulmas' blue streak of hair. It's on the left side of her head throughout the conversation until goku says "you might need back up." The camera shows a close up of them shaking hands, and when it cuts back to Bulma, the blue streak is on the right side of her face. There is no indication of her moving it, and there's not enough wind to blow it to the other side. (00:26:25)
Continuity mistake: Bulma is browsing in search for Roshi, while Goku eats a massive piece of meat. Right at the first cut, the extras that were walking around have completely disappeared, and throughout the scene, cars in the background never carry over from the previous time they were in frame, they just vanish between shots. (00:27:10 - 00:27:45)
Continuity mistake: In the close-up of her DBE in front of Roshi's house, Bulma is holding the device with both hands. She is browsing it with just the left hand in the wider shot. (00:28:00)
Continuity mistake: Bulma approaches Master Muten's home moving along the right side of the stairs in the faraway shot, but saunters along the left in the closer take. When it's time to enter, she opens the door, left hand close to her body and not popping out...but in the next shot, the hand holds the dragon radar and is placed on the external wall. (00:28:20)