Please Hold to My Hand - S1-E4
Continuity mistake: When Joel tries to drive through the rebel trap, the bad guy throws a big rock/brick on the pickup that creates a reasonably sized crack on its windshield - as we can see it from inside the car. However, during all the next outside shots, the windshield is intact - actually, it looks brand-new.

Visible crew/equipment: When Joel and Ellie cross the bridge, you can see crew on the left, in the overhead long shot. This show is an HBO Original, and the mistake has been edited out in the current streaming version. (00:14:35)