Continuity mistake: Qui-Gon kicks off Darth Maul with his lightsaber ignited. In the next shot, when he jumps to fight the Sith, the lightsaber is turned off, even though the turning off sound is never heard. (01:55:45)
Continuity mistake: Qui-Gon, Obi-Wan, and Maul are fighting in one of the bridges in the reactor room. In the next shot, when Maul kicks Obi-Wan, the three are now fighting next to a reactor. (01:55:28)
Continuity mistake: When the three Droidekas appear and attack Padmé's group, in the background you can see that Darth Maul has already ignited his lightsaber. After Anakin says "We gotta do something, R2", the Sith ignites his lightsaber again. (01:50:53)
Continuity mistake: When Qui Gon is killed, he falls to the floor with his right arm on the floor. The next shot shows his left arm falling and his right arm on his chest. (01:55:05)
Continuity mistake: At the start of the lightsaber fight in the hanger all three go through some large doors and into the big generator room. Behind them a set of stairs have appeared.
Continuity mistake: When Obi-Wan runs towards Darth Maul and Qui-Gon he is halfway down the walkway, but when it cuts to Darth Maul and Qui-Gon Obi-Wan is now at the far end.
Continuity mistake: When Obi-Wan is hanging from the ledge in the abyss after Darth Maul knocks him into it, he sees Qui-Gon's lightsaber a distance from him and uses the force to grab it. Between shots, the lightsaber changes position on the floor.
Continuity mistake: Just before the Battle of Naboo begins, Jar Jar and Tarpals are at the front of the Great Gungan Army. In one shot, Jar Jar turns and says, "Steady, steady," to the Gungans. During this shot, Captain Tarpals disappears.
Suggested correction: He doesn't disappear; he is just offscreen. The close-up shot of Jar-Jar is taken at a more head-on angle.
Judging by the almost zero distance between the two characters, I'd say it's practically impossible that no part of Tarpals' body could have been seen. Jar Jar's hand would have even touched Tarpals if he were still there.
Nonsense. We can't see the feet of their mounts, and apparent distance depends on the focal length of the lens, so there is no way of telling how far apart they are. Definitely more than "zero distance." In the second shot, there doesn't appear to be much more than 4 feet visible to his immediate left (our right). Certainly, a reasonable distance based on the first shot.

Continuity mistake: Sebulba snaps a bit off Anakin's pod and it is left dangling, however in the following scene where Sebulba is talking to Anakin, the part is back in its original position. (00:54:45)
Continuity mistake: When Qui-Gon and Obi-Wan are fighting battle droids in the Trade Federation ship, Nute Gunray says, "I want droidekas up here at once." As he says this, he turns his head, causing the "straps" hanging from each side of his headgear to hang slightly behind his shoulders. In the next shot from behind, they are hanging in front of his shoulders like they normally do. (00:05:55)
Continuity mistake: When the gungan submarine exits the water, you can see water flowing on the force field. The shot later, the submarine is completely dry. (00:21:30)
Continuity mistake: When Darth Maul is fighting with Qui-Gon, only one blade of his lightsaber is on and on the other side there is just a flat end, with no hole. When he fights with Obi-Wan and Qui-Gon in the palace, there is now a hole at both ends. (01:17:25)