Factual error: Wanda's father opens his briefcase of DVDs and one of them is Malcolm in the Middle. But the bomb that killed him fell in 1999, and Malcolm in the Middle didn't start airing until 2000.
Plot hole: The protagonist gets in the exclusive, multi-millionaire, invites-only auction because the invitation is on a printed letter that he faked. This means that the guards at the entrance don't have a guest list to check, and since nobody knows who this person is, the staff does run a background check on his identity when he makes the first outrageous bid...by looking his name up on Wikipedia. That's mighty low standards of security, especially for an auction that was supposed to be for a selected audience and the most important in France.
The Man with the Umbrella - S1-E3
Continuity mistake: When people start dying during the dalgona game and people start getting eliminated from the floor of the control room, you can see one of the screens on the left showing a player licking the back of his cookie. People don't start doing this until they see Gi-hun come up with it, and he hasn't had that epiphany yet. (00:39:26)
Power Broker - S1-E3
Factual error: Every guard in the prison has the emblems of Hamburg on his/her shoulders of the uniforms. Zemo is said to be imprisoned in Berlin, so they are wearing the wrong emblems.
What If... Captain Carter Were the First Avenger? - S1-E1
Deliberate mistake: When Peggy and Steve are studying the map where the 107th Army division is held captive, the names on the map are nonsensical names that do not even follow German spelling or standards for place names ("Farfignugen," "Dädtenorth," and "Rosskjhberg," for instance). Most of them are also reused, appearing several times on the same map. This is most likely done deliberately so as to avoid any resemblance to real places, but still looks out of place and illogical. (00:11:27)
Continuity mistake: When Captain Bragg orders her troops to move in on the people in the square, GS-8 is standing behind her, despite the droid having fled the scene just two shots earlier after Senator Singh's arrest. (00:02:58)
The M.O.D.O.K. That Time Forgot! - S1-E2
Character mistake: M.O.D.O.K. refers to Hoobastank as "the Beatles of the late 90's." Hoobastank only released one album in the 90's, and they didn't become popular until after they released their second album in 2001.
Factual error: A passerby tells Sheldon Sampson that the stock market has just gone "tits up." This is a British expression that you would likely not hear in the United States, and you certainly wouldn't hear it in the 1920's.
Continuity mistake: Alina is trying to escape both the Crows and General Kirigan's men through the streets of the town of Ryevost. While in an alleyway, she kicks in the door to a building, only to still be outside when she emerges from the other side of the door - when she looks back inside of the door she just emerged from, it leads to the interior of a building, not the alley she just came from.
Continuity mistake: After Loki time jumps back to the interview room he drops the tesseract on floor. When he gets up it's not there or on the table. (00:36:53)
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.
Continuity mistake: When Kate goes to see the LARPers at the park to track down the trick arrows, her cross-body leather strap changes direction repeatedly. At first, it hangs from Kate's right shoulder to her left hip, but when Kate asks about the cop in their group, the strap hangs from her left shoulder. Then the leather strap reverts to the original way, only to switch yet again after the fist bump. None of the shots are flipped. (00:20:10)
Nothing Sudden About It - S4-E3
Other mistake: The agent reaches into a toilet tank to retrieve a wristband. He holds the wristband up to look at it, and his hand isn't wet. (00:25:47)
Revealing mistake: Whenever the newspaper Josh is shown at the beginning appears, the news story consists of a paragraph that repeats itself.
Visible crew/equipment: S3xE18 "Eye for an Eye": When Robyn, Mel, and Harry return to Harry's sanctum, they spot Fisk seated at Harry's desk as he suggests getting a pool table. After the title intro, it then cuts to the trio standing in front of Fisk, and there are two T-marks taped to the floor at their feet.
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)
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.
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.