No Exit (a.k.a. Three-Eyed Turtle) - S1-E7
Deliberate mistake: Before breaking into Amato's house, Lester tells Crockett and Tubbs that they will have thirty seconds to shut off the alarm after opening the door. However, it takes the trio much longer than thirty seconds to find the alarm and disable it. The alarm is disabled much closer to fifty seconds after they open the door. (00:08:56 - 00:10:00)
Brother's Keeper (1 & 2) - S1-E1
Visible crew/equipment: When Leon is walking down the street, right before Crockett jumps in his car, the camera crew are visible in the shop windows the entire length of the scene, moving along with Leon.
Sonny Crockett: I get these occasional urges for stability in my life.
Trivia: Michael Mann was originally against casting Don Johnson. Prior to this TV series, Johnson had starred in four failed TV pilots.