Contradiction with John 20:19
John 20:19 states that the disciples were assembled with the doors shut due to fear, suggesting a different reason or scenario for the disciples being gathered together than in Luke 24:33.
John 20:19: Then the same day at evening, being the first [day] of the week, when the doors were shut where the disciples were assembled for fear of the Jews, came Jesus and stood in the midst, and saith unto them, Peace [be] unto you.
Contradiction with Mark 16:14
Mark 16:14 mentions Jesus appearing to the eleven while they sat at meat and rebuking their unbelief, which contrasts Luke 24:33's context where they seem more receptive and gathered for sharing news.
Mark 16:14: Afterward he appeared unto the eleven as they sat at meat, and upbraided them with their unbelief and hardness of heart, because they believed not them which had seen him after he was risen. [at meat: or, together]
Contradiction with Luke 24:12
Earlier in Luke 24:12, it suggests Peter alone went to the sepulchre, which is a separate action from the group gathering mentioned later in Luke 24:33.
Luke 24:12: Then arose Peter, and ran unto the sepulchre; and stooping down, he beheld the linen clothes laid by themselves, and departed, wondering in himself at that which was come to pass.