Character mistake: In the first movie, Haymitch is their mentor. When they are eating dinner in the capital, Peeta says his mother said district 12 may finally have a winner, and she was talking about Katniss. What does he mean by "finally have a winner?" Haymitch had already won the games for district 12 in the past. So Katniss or Peeta winning wouldn't be the first for district 12.
Continuity mistake: When Katniss pulls back on her bow to take her first shot at the apples, she has a strand of hair hanging neatly by her eye. Camera cuts and this strand is now spread out and untidy. (01:32:30)
Continuity mistake: Just as Katniss is placed on her spot by Effie after walking up on stage, Effie grabs the microphone just as the camera changes. When the camera changes, she is no longer holding the microphone. (00:15:40)
Continuity mistake: In the evaluation scene where Katniss shows off her bow and arrow skills, there are 4 arrows total. However, when she leaves, all 4 are gone, and she only shot 3.
Suggested correction: When she comes in, there are 5 arrows. She shoots 3 and when she walks away, you see 2 arrows left.