Dedication - S1-E15
Continuity mistake: At the start, Frank isn't wearing glasses at the table. Then in one shot he is. Then not again. (00:00:40)
Dedication - S1-E15
Revealing mistake: Frank gives Walter a new cigar. However, in the closeup when Walter puts the cigar in his mouth The End of the cigar is burnt and shows that it was once lit and put out. (00:01:35)
Dedication - S1-E15
Factual error: When the ambulance pulls up to the hospital after Frank is shot, it is a Chicago Fire Department ambulance, not New York. (00:02:10)
Dedication - S1-E15
Continuity mistake: When Danny gets into gunfight with Rory Brennan at Whitey's facility, keep a good eye on Rory's gun. After Danny shoots him, the gun drops out of his hand onto the ground between his legs. When Danny goes down the staircase, the gun is back in Brennan's hand, so Danny uses his foot to bring the gun to the floor...for the 2nd time. (00:29:50 - 00:30:35)
Revealing mistake: A runway model drops dead. Linda runs over and checks her. The model blinks, and Linda announces she is dead. (00:06:20)
Visible crew/equipment: At the start of the episode, the first character (Cole) has an audio wire sticking out the back of his suit. It disappears in the next shot. (00:00:25)
Character mistake: When Henry and Jamie are putting away leftovers from dinner, Jamie puts food in a plastic container and then puts the dirty fish in the cabinet with the clean dishes.

The Uniform - S2-E11
Character mistake: While handcuffing an auxiliary officer in his apartment, there is a poster on the wall reading, "attention military personal..." Personal is misused. It should read "attention military personnel." (00:16:02)
Continuity mistake: Frank and Henry are up late, 3am, and, talking about how his late wife Mary never wanted to see her youngest go into the Family Business. Henry says how proud Mary was in the day of Jamie's graduation. But Mary was already dead by the pilot, when Jamie graduated.
Nightmares - S3-E7
Continuity mistake: In the very first episode Frank Reagan is getting dressed to go to Jamie's graduation ceremony. He slips on his watch and then takes a ring with a blue stone (looks sort of like a class ring) and puts it on. It is definitely and obviously a large blue stone. Then in this episode, near the end, when Frank is sitting at the bar talking to Garrett, as Frank lifts his drink in his right hand, and Garrett says "Thank you, Frank", that "class ring" has a very definite and obviously large red stone. (00:01:20 - 00:40:50)
Nightmares - S3-E7
Visible crew/equipment: While Jaime talks to Malcolm on the street and takes his picture it's being filmed from two camera angles. When Malcolm shoves Jaime and he falls to the ground we can see the second camera's tripod leg at the right side of the screen, and as Jaime gets up we can see the second camera as well.
Nightmares - S3-E7
Visible crew/equipment: After Jaime goes after Malcolm, who was released again from the hospital, it cuts to Danny and Kate parked in the car across the street from the church, and when Kate opens her door the reflections of the camera and crew members are visible on the window.
Continuity mistake: At the start of the episode, when Frank opens/closes the refrigerator door we see the door's layout, and the door bin cover is under the top shelf compartment. As he makes himself the sandwich Erin and Nicky walk in, and when Nicky opens the fridge door it's an entirely different interior style with the door bin cover at the top.
Continuity mistake: Jamie's car is suddenly yellow when offering driving lessons. In previous episodes, the car is blue. (00:40:18 - 00:41:16)
Continuity mistake: Danny drives up to the police station. Erin is waiting for him, leaning on the trunk of a police car. A different camera angle shows her standing up. Next shot she is leaning against the car again, then next shot she is standing.
Continuity mistake: Frank is talking to Garret in his office. A close up shot shows him sitting at his desk with his elbows on it. A wider angle shot shows him sitting up straight. Next shot shows him with his elbows on the desk again.
The City That Never Sleeps - S4-E2
Continuity mistake: Danny and his partner are driving with a passenger in the back seat. You can see both front seat headrests removed while they are talking in the car. Next shot shows the car from outside and you can see the headrests are on the seats.
Continuity mistake: During the courtroom hostage scenes, when Raoul Delgado and Erin are on the phone with Danny there are some closeups of the gun Delgado is holding. After Delgado hangs up on Danny, when he slams the gun into Jack's temple and orders Erin to go with him, in these closeups the gun is noticeably different. (00:30:55)
Visible crew/equipment: As Danny gets out of the car, with the bad guy who shot Erin in the courtroom, holding her hostage and coming out to meet him behind the courthouse, as Danny gets out of the car, in the driver's side car door mirror you can see a crew member in a red shirt holding one of those "scene marker" slap boards. (00:32:40)
Continuity mistake: After Danny shoots Delgado, he kneels down and holds Erin at her right side with his back facing the car (driver's door is open), but in the next shot Danny is kneeling at Erin's left side with his front now facing the car, as seen in the live feed Frank is watching on the monitor. The live feed is not backwards, note the open driver's door, etc. (00:34:35)
Answer: It's the New York Police Department flag, created in 1919. The stripes represent the 5 boroughs and the stars the different towns that made up New York (including New York City itself).
Bishop73
What about the other flag that is not the U.S. flag?
Please be more specific. Are you talking about the New York City flag?
Bishop73
It is the Iowa State flag. At least in the episode from 1/22/21.
It wouldn't be the Iowa State flag. Plus the Iowa State flag is blue, white, and red. The flag I think they're talking about is blue, white, and orange.
Bishop73