Continuity mistake: When Chrissy and Lois are in the car before going into the meeting, the passenger side window is down, but not all the way. But in the next shot when Chrissy steps out, it's all the way down.
Episode #1.1 - S1-E1
Continuity mistake: When Mark got into his cell, the top bunk had a vinyl-like covered mattress (or folded gym mat) that had a lengthwise seam along the middle of the side. He was not fixing his bunk bed while he was talking to cellmate Bernard, but when he was removing items from his bag on top of the bunk bed, it was now covered with a blue blanket and a sheet folded down by the pillow could be seen. A little later, the blanket was also covering the foot of the bed. (00:13:15 - 00:15:03)
Episode #1.3 - S1-E3
Character mistake: Richie Gulliver is referred to as Rory Gulliver on the newspaper headline. As he's supposedly a very well-known Member of the Scottish Parliament, it's unlikely a newspaper would make a mistake like this.
Chapter 7: In the Name of Honor - S1-E7
Revealing mistake: When the big battle starts, Boba and Mando appear using their jet packs. As Boba lands with one foot forwards, sand is thrown up into the air, but the sand is a special effect coming from about a metre in front of Boba, not from the foot itself. The result is very unconvincing.
Stego Search - S1-E7
Continuity mistake: Four people (a guy in a pink shirt, a girl in an orange dress, a guy in a blue shirt, and a girl in a denim skirt) stand up from a picnic blanket to go listen to a guitar player. However, in the next shot, the girl in the denim skirt and the guy in the blue shirt are replaced by a girl in a black dress and a guy in a green shirt, and they are never seen again.
Family Day - S2-E5
Continuity mistake: When Harry first picks up a water balloon and throws it, his hands are now empty. In the next shot, he has a blue water balloon in his hand. When he throws that one, you see it's a pink balloon being thrown.
Other mistake: Vincent falls from a parking garage and smashes onto the roof of his car, appearing nearly dead. In the next episode, he is in the hospital with multiple broken ribs and other fractures, yet he is released without even staying the night for observation.
Audio problem: After Kate shoots an arrow at the mafia guys, she says "told ya." Then we hear Clint/Hawkeye say "yeah", except he's on camera and his mouth doesn't move, he doesn't even change his facial expression.
Episode #3.2 - S3-E2
Factual error: The navigation software "What3Words" is featured. Apparently the words "flop, sponge, knee" point to a storage facility in London. In reality, they actually point to somewhere near the city of McGrath, Alaska. "Hunch, bumpy, strut" are also mentioned, which actually point to somewhere near Paraburdoo, a town in Western Australia, definitely not a forest in London as depicted in the episode.
Other mistake: Danny Stevens, an undercover police officer, is killed. The police agree to investigate the murder of his undercover persona, Steve Daniels, thus allowing the investigation of his death without compromising their ongoing investigation into the activities of a drug kingpin. The officer investigating the murder visits the kingpin to ask about Steve's murder. She shows him a photo of the murdered man, but the name across the bottom is Danny Stevens - the policeman's real name.
Visible crew/equipment: At the end, when Aunt Vi and Delilah return home, just as Miles walks into the house, the green T-mark is visible on the floor.
Factual error: When Alina stands outside of the door to the banquet hall, waiting to demonstrate her power to the king and queen, there is a modern electronic occupancy sensor on the wall behind her.
Visible crew/equipment: After Raines shares details with Kellett about Semien's crew, when it cuts to Semien waking everyone up, just as he announces his contact with Belgian Federal Police, there's a visible T-mark taped to the floor behind Andre's cot. (00:24:25)
Visible crew/equipment: When Jane straight up tells John Swift that she's taking a "vacation" so she'll be out of his hair, just as Jane walks out of her own office, the red T-mark is visible on the floor at the doorway. (00:15:45)
Planes, Trains, and Automobiles - S2-E1
Continuity mistake: S2/E1 Planes, Trains, and Automobiles: Ashley smoked her cigarette down to the filter with no white cigarette showing but in the next frame there's white cigarette showing. (00:11:23)
Plot hole: Loki states while on trial that The Avengers should be on trial for traveling through time to change the timeline. How did he know they came back through time?
Suggested correction: He recognized that there were two Tony Starks in the lobby by the smell of their colognes, and combined with all the other unusual shenanigans going on, he correctly deduced the Avengers travelled through time, though he incorrectly thought it was to prevent his ascendancy.
How exactly do you distinguish the smell of cologne as belonging to two separate people? But besides that, it's pretty wild to jump to a conclusion about time travel when it could be that someone else happens to be wearing Axe.
I'm sure he simply recognized his voice.
Kiss/Maach - S2-E14
Factual error: Hazel comes to wake Al and says it is 5:00 am. The sun coming through the windows shows it is at least 30 minutes past sunrise. They are in Columbus, Ohio, where the sun never rises at 4:30.
Other mistake: When we see the close-up of the newspaper headline that says "Ray Parents Slain" at the start of the episode, look at the smaller articles on the close-up side of the screen—they're literally gibberish.
Factual error: Season 2, Episode 1: Cleon is fighting some "ninja" warriors. One of them slices part of an android's head clean off, below the right eye. When the android is next seen - with part of its head cut off - the slice is above the right eye. The right eye is fine.
Continuity mistake: At the funeral, Susan Sharon raises her hands and points at her face. From the opposite angle they are lowered.