Continuity mistake: When the would-be robber takes his gun out, he places his hands on his head. But in the next shot, at least his left hand is no longer on his head. It's back up in the next shot.
Continuity mistake: Peter is pushed off the building faced forward, he is falling face forward, yet he manages to land face upwards.
Continuity mistake: Mohinder and his friend enter Sylar's apartment. He's wearing a white shirt. In one shot, when he finds Sylar's secret room, he is wearing a dark jacket.
Suggested correction: It's not a dark jacket. It's still his shirt but since he's in the shadows, it just looks darker. You even see when the light swings you can catch a glimpse of the shirt.
Continuity mistake: In the scene where Sylar and Mrs. Bennet begin to talk, she becomes suspicious about his interest in Claire. When Mrs. Bennet picks up the phone to call her husband, Sylar visibly moves his finger to use his telekinetic power right before the angle changes. In the next shot, Sylar again does the same motion with his finger, but this time the phone is removed from Mrs. Bennet's hand.