Continuity mistake: The captured Kimble lies face down on the ground and rests his head on his folded arms. When the shot cuts to a close-up, however, he's suddenly resting on his elbows and looking up instead. (00:13:00)
Audio problem: When the mayor stalks out of Vilattic's office, we hear the sound effect of the door slamming before it actually closes. (00:14:00)
Continuity mistake: The leaves sticking to the back of Kimble's coat change positions completely between takes. (00:40:00)
Revealing mistake: During the fight with Fallon, Kimble's stunt double is glaringly obvious. He's taller and thinner, and doesn't even have the same color hair. (00:43:50)
Continuity mistake: Kimble is wounded in the leg and is limping badly when he escapes at the end. Yet in the epilogue, supposedly occurring soon after, he's walking down a road with no sign of the limp, and has also acquired a cowboy hat that he didn't have before. (00:45:50)
Visible crew/equipment: As Kimble gets into Gould's VW, the car door captures a fleeting but clear reflection of the film crew. (00:29:30)
Tiger Left, Tiger Right - S2-E6
Continuity mistake: We hear Pryor's half of the conversation with the kidnapper, then the tape of both their voices played back by the police. On the tape, Pryor's inflections and pauses are completely different from the "live" conversation. (00:28:30)
Tiger Left, Tiger Right - S2-E6
Continuity mistake: Kimble's been kidnapped and held for ransom. He had nothing with him when he was taken, yet when he leaves the abandoned house with the kidnappers, he has a small suitcase. When they drop him off on the road, he doesn't have it. When, in the epilogue, he's shown walking, he's carrying a different, larger suitcase. (00:46:00 - 00:49:00)
The End Is But the Beginning - S2-E17
Continuity mistake: Kimble writes a letter to his father that refers to his brother "Doug." But in "Home Is the Hunted," his only brother's name was Ray.
Revealing mistake: When Kimble leaps from the truck and runs into the woods, the stunt double's face is visible. (00:07:00)
Visible crew/equipment: Gerard drives away in his '64 Ford Galaxie, and the side of the shiny new car captures a clear reflection of several studio lights and reflectors. (00:10:10)
Moon Child - S2-E22
Continuity mistake: Kimble orders coffee and a bowl of chili from the diner's owner, George. But George serves him a glass of water with the chili, and never does bring the coffee. Later, when the sheriff arrives and wants Kimble's dishes to get fingerprints, a cup of coffee mysteriously appears next to the bowl of chili. (00:02:50 - 00:10:30)
Everybody Gets Hit in the Mouth Sometime - S2-E24
Visible crew/equipment: When Kimble is chasing his boss, when they are both driving semis, and he is trying to warn him that the insurance company is setting him up, there is a camera and crew on the hillside.
Revealing mistake: At the beginning, the stunt man seen running toward the train in profile (when Kimble jumps aboard the freight car) is very easy to spot. (00:01:50)
Revealing mistake: Matt Mooney pulls open the freight car's door, and we can see the swiftly passing landscape outside, but not a hair on his head is disturbed by the wind. Rear screen projections don't generate much of a breeze. (00:10:05)
Last Second of a Big Dream - S2-E30
Continuity mistake: The tiger claw scars on the major's face disappear, reappear, and change configuration throughout the episode. (00:36:20)
Last Second of a Big Dream - S2-E30
Continuity mistake: Kimble is locked in a tiger cage with a waffle-pattern wire mesh. But when he asks the major for help and the shot cuts to a close-up, Kimble is behind ordinary vertical bars, and the mesh has disappeared. (00:37:20)
Answer: Production vehicle models aren't in sync with the calendar year. The '65 Mustang began production in March 1964 and first sold in April 1964, before it was "introduced" the following year. I don't know which model was seen in the episode, but the 2+2 fastback was sold in September 1964. The 1964 film "Goldfinger" uses a 1965 Mustang as part of Ford's product placement. Basically, in the 1930's, FDR ordered automakers to release vehicles in the fall of the preceding calendar year "as a means of facilitating regularization of employment in the industry." Now, automakers can release new models as early as Jan 2 of the preceding year.
Bishop73