During the District 12 reaping, Effie Trinket is the only character with a microphone. However, after the female tribute has been chosen, Katniss and Primrose's voices can be heard amplified and echoed as if they were using microphones as well, even though neither are near the microphone. This is only in some shots, and the echoes come and go.
When the 12 chariots are parading to the final stopping spot, the fans are throwing flowers and all kinds of things on the road that they ride in on. When they show the overhead view and the last chariots pull up there is not one item on the roadway.
When she is on the Cornucopia at the end, Katniss has just one arrow left. She shoots Cato with it. When Cato falls among the beasts, she ends his suffering by shooting another arrow, which she shouldn't really still have. At no stage in the movie is she seen to retrieve an arrow once fired.
When Peeta throws the metal ball at the spears, the career tributes (Cato, Marvel and Clove) are laughing at Peeta before he throws the ball. After Peeta has thrown it, Clove has gone and Glimmer is in her place.
When Kat is driven from the tree by the fire she unties her rope and jumps down the tree apparently without putting the rope back in her bag. But the following night, while hiding on a tree from the others who camp beneath her, she however has tied herself to the tree again with the same rope.
In the 'Reaping' scene when Katniss is seen yelling 'I volunteer' the camera shows her ducking under the Peacekeeper's arms, when the camera once again returns back to her she's back up straining against the Peacekeeper's arms.
During the speech from an instructor before the tributes commence their training, Glimmer can be seen to have a pimple on her right cheek, near her chin. This is gone when she is on with Caesar Flickerman, but it could have been covered with makeup. When Katniss is chased up a tree, Glimmer can be seen without the pimple on her cheek, but she has one on her throat, right under her chin, where she didn't have one before. Then, when she laughs at Cato by the campfire, she has a pimple on her right cheek again.
When Peeta throws the metal ball at the rack where the spears are, the District 1/2 representatives can be seen in the background with their arms hanging loose. Immediately after that, they are shown with their hands folded together.
During The Reaping, in the wide shot when the Mayor and his affiliates are being introduced, there is only a microphone and the chairs on the stage. The Reaping Balls do not appear until Effie draws the names.
After entering her private training session in front of the Gamemakers, Katniss Everdeen picks up a bow and draws it. In the side shot, she removes her index finger of her bow hand from the top of the arrow's shaft while drawing the bow. When the camera switches to over her right shoulder, her index finger is still over the top of the arrow and Katniss only removes it after she has fully drawn the bow.
When Effie Trinket is shown from behind walking to the bowl to draw the girl tribute, she has a lot of hair on her neck. Then, when she is shown from behind going to meet Katniss, she has just a few strands of hair there.
When Katniss is seeing images on the window of her penthouse room, in the forest image, when her face is focused, there is hair in front of her left eye. But after shifting to the forest image and then shifting back to her face, there is no hair in front of her left eye.
When wounded Katniss is on the tree and receives a parachute, she takes off the lid of the can with the medicine and places it underneath it (the can). In the following scene she's holding the lid on the side of the can.
After Katniss volunteers for Prim, it shows the crowd putting three fingers over their lips and kissing it as a sign of respect. You can clearly see a man in the crowd wearing black with a camera. This is often mistaken as a goof but remember that the 'Reaping' is being televised across Panem.
When Katniss draws her bow to deliver the coup de grâce to Cato, she initially aims downward as would be expected. But in the next shot, her aim changes to slightly upward. She releases the arrow in a path that would clearly fly far over him.
After Katniss has destroyed the stockpile at Cornucopia, she runs back into the forest and stops to whistle to the mockingjay and signal Rue. In the wide shot you can very clearly see a blue marker for where she needed to stop.