Goofs

In the shot after the title sequence, the funeral parlor door and door handle are shown intact despite Jack having bashed the door in with a stone in There's No Place Like Home: Part 3 (2008).

When Locke time travels, he gets shot. But then, when he time travels again, the shot should have been gone but isn't.

Not a Goof: Whatever happens to Locke's material body in each time jump, stays with him. It's the same body traveling back in time.

(at around 21 mins.) When Sun is checking out at the airport, the opened application in the Windows task bar on the agent's screen is Adobe Photoshop. The passport image is on full screen view, and the Photoshop toolbar is at the top of the window.

At the beginning, an alarm clock is shown, and its alarm sounds at 8:15 am. However, the dial on the left shows the alarm is set for midnight.

In the opening segment, Dr. Chang is listening to Willie Nelsons "Shotgun Willie" as he performs his morning routine. When the record starts to skip, he removes the stylus. However, the LP on the turntable clearly shows the album to be on the Vertigo label; Shotgun Willie was released by Atlantic.

On Penny's yacht, Desmond goes on deck and starts to raise the anchor. The chain is actually going out, which means he is lowering the anchor.

When Dr. Chang enters the room to get filmed for his orientation video, the camera operator immediately says "Speed," which means the camera is rolling and ready for action. Chang after that really takes his time, and even the clapper board comes quite slow. No director would give a camera operator the command for rolling the camera before the actor and everybody else on set is really ready and set for a take because every foot of negative film running through the camera is rather expensive.