Funeral at Fifty-Mile - S1-E22
Continuity mistake: When Jessica walks from the house to the barn at the end, she is wearing knee high brown boots. By the time she reaches the barn they have been replaced with court shoes.
Brother's Keeper (1 & 2) - S1-E1
Visible crew/equipment: In the scene where Crockett and Tubbs first meet at the deal, after the cops bust the deal too early, Tubbs steals Crockett's boat to get away. As he's driving the boat away, you see a second person kneeling down in the back of the boat, most likely a crew member. Very obvious.
Episode #1.1 - S1-E1
Continuity mistake: Episode 1 - When the commissioner kisses his wife at the beginning of the first episode, he is holding the holstered gun in his left hand and his ID in the right hand. That's in the first shot, because his daughter enters the room bringing coffee, and now the two items swapped hand. (00:05:10)