Continuity mistake: Garma deploys the Zeon Mobile Suits. The three Zakus descend in a different order in the various shots (the rightmost one is much closer to the ground at first, in midair it appears to be last but catching up, and then it changes again next). (00:14:00)
Continuity mistake: When Garma visits Char that is taking a shower, he has a pink report in hand. In the close-up, the paper is orange, with just a very small pink label on the front cover. Returns pink when he stands up to leave. Finally, just before he actually leaves, the document is back to the orange cover, this time with a pink label bigger than the first time. (00:21:50)
Audio problem: The officer is trying to force Bright to send out of the Gundam to break through the enemy forces. Kikka is singing, which makes him lose his temper. You can see though that when she supposedly sings her mouth is instead closed. (00:05:30)
Continuity mistake: Amuro passes by Fraw Bow without saying anything. After that, you can see a group formed by Ryu, Hayato, Sayla and Mirai rushing to greet him. But at the cut, Mirai is not there, replaced by Kai Shiden. (00:20:00)
Other mistake: When Amuro exits the Gundam cockpit after successfully repelling Garma's forces, his hair is colored jet black instead of brown (nothing else in the scene changes color and it is a fairly mundane transition, so it's not a matter of light). (00:19:50)
Continuity mistake: The bandage on Lt. Reed's arm ties behind his neck. The extremities of the knot appear and disappear throughout the scene. (00:06:50)