On The Lam / Family Man - S5-E17
Other mistake: A security guard in the train yard is drinking from a carton of milk depicting the boys. However, they had only been declared missing that afternoon. It is impossible to put out milk cartons that quickly.
Character mistake: Helga makes Arnold sit in a plate of chocolate pudding as a prank. Arnold then asks Grandpa on the phone to bring him a new pair of pants. When Grandpa arrives, he asks Arnold, "What's that on your pants?" The pudding is not on Arnold's pants; it's on the back of his shirt. (00:06:25)
Love and Cheese / Weighing Harold - S4-E7
Character mistake: Love and Cheese: When Arnold and Lila are sitting at the table at the Cheese Festival, Arnold asks Lila, "Do you want to ride on the Tilt-To-Whirl?" However, the ride is actually called "Built-To-Hurl." (00:06:59)

Continuity mistake: Ms. Perfect: When Lila is wearing her new blue outfit at recess, she wears light blue bows in her braids, but when she is shown in close-up, she is wearing her regular green bows. There is also a small animation glitch with Lila's right bow. (00:15:22)

Arnold Visits Arnie / Chocolate Boy - S5-E12
Continuity mistake: Arnold Visits Arnie: When Arnold walks out of the movie theatre, he walks into Hilda and they fall over. In the next shot, they turn 90° counterclockwise. (00:06:45)

Other mistake: Mugged: When the people are standing outside Sunset Arms waiting for Arnold to come out of the garage, Oskar is coloured incorrectly: he has grey hair, a grey beard, an orange shirt, a light blue jacket, and white shoes. (00:05:12)
Love and Cheese / Weighing Harold - S4-E7
Plot hole: Love and Cheese: This episode takes place at the Cheese Fair. However, the episode "Operation: Ruthless" also takes place at the Cheese Fair, and it is stated in that episode that the Cheese Fair is an annual event. It can't be that this episode takes place a year later, as the series takes place during the same fourth-grade school year.

Full Moon / Student Teacher - S4-E1
Revealing mistake: Full Moon: When Harold tells Arnold, "Remember when I said you didn't have any guts because you wouldn't moon Principal Wartz?" his mouth briefly disappears. This is easier to see in slow motion but is still visible at normal speed. (00:11:16)
Love and Cheese / Weighing Harold - S4-E7
Continuity mistake: Love and Cheese: When Arnold is trying to knock the bottles down and Lila gives him a flirty look, her collar turns green for one frame. (00:06:12)

Continuity mistake: Ms. Perfect: When the flap on Lila's table falls down, her lunch bag falls over. When the tray of spinach and fish falls on her, it changes position. (00:18:37)
The Aptitude Test / Oskar Gets a Job - S3-E9
Continuity mistake: Oskar Gets a Job: When Arnold and Suzie are in the laundry room, Suzie says that she wishes Oskar would do what he says he's going to do. In the next shot, the washing machine and the dryer switch places. (00:21:10)

School Play - S3-E19
Other mistake: After Helga gets mad at Arnold in the beginning, as Helga says, "What an annoying little smarty pants know-it-all," the lunch lady's body is invisible through the glass on the counter, leaving only her upper half visible. (00:01:12)

Phoebe Takes the Fall / The Pig War - S3-E16
Revealing mistake: Phoebe Takes the Fall: When Phoebe is in Helga's room helping her study for the tournament, as Helga says, "Well, let's call it a night," her left side hair is missing, then it appears mid-shot. (00:06:54)

Love and Cheese / Weighing Harold - S4-E7
Continuity mistake: Weighing Harold: When Arnold shows Harold his reflection in the water, the reflection of his tooth is not reversed, it is on the same side of his mouth. The second time his reflection is shown, it is reversed. (00:16:37)

Career Day / Hey Harold! - S3-E11
Other mistake: Hey Harold!: When Harold's family is talking about Patty during dinner, as Harold's mother says, "We can show her those adorable baby pictures of you," her left eyelid is not colored in. (00:20:39)

Career Day / Hey Harold! - S3-E11
Other mistake: Hey Harold!: When Harold and Patty are dancing together, as Harold says, "They said I didn't apply myself," Patty blinks twice, and her right eyelid is not colored in. (00:17:00)
Door #16 / Arnold as Cupid - S1-E10
Other mistake: Arnold as Cupid: When Oskar gives Arnold breakfast, besides the fact that the objects move from the left side of the tray to the right between shots, look at the glass of orange juice as Oskar lowers the tray to Arnold. Despite Oskar never rotating the tray around, the glass of orange juice glides itself over to the top left corner of the tray. Very weird. (00:14:34)

Arnold & Lila / Grand Prix - S3-E13
Continuity mistake: Arnold and Lila: On the bus, when Arnold tells Lila that he doesn't like her like her, Lila is smiling at him. In the next shot, she is suddenly frowning. (00:07:01)

Runaway Float / Partners - S2-E20
Continuity mistake: Runaway Float: When Arnold first sees the beeper float, he says, "How can they control that thing?", and Gerald is sitting on the curb to the right of Arnold. In the next shot, Gerald is suddenly behind him. Arnold is also a lot further away from the curb than he originally was. (00:08:16)

Arnold Betrays Iggy / Helga and the Nanny - S3-E10
Revealing mistake: Helga and the Nanny: When Helga tells the other kids that her nanny was fired, as she says, "Yeah, well my dad found his lucky belt under her bed this morning," her left-side hair disappears for one frame. (00:20:06)
Answer: The show is based in present day times. Plus most cars aren't old fashtioned, I recall seeing a limo and not to mention a cherry picker, etc.