When the detective is eating in the Chinese restaurant and struggles with the chopsticks, there's a report about Attila's robberies on TV, and the narrator says he was captured because of his dog. This is incorrect at this time: it was the second arrest of Attila Ambrus that happened because he wanted to pick up his dog after his escape from the police jail.
When the robbers are escaping in the taxi, a radio transmission says that the bank in Logodi street has been robbed. But later when Attila is driving towards the border with his dog, and the arrest of his accomplice is announced on the news, they say that the perpetrator of the robbery in Koplicska street has been apprehended. Apart from the continuity error there's no such street in Budapest or anywhere else in Hungary.
Attila escapes to Hungary and meets Kata before Ceausescu was executed, which was in 1989. Later in the interrogation scene he's asked about a robbery in 1999. This means at least ten years passed during the movie. Neither Attila nor Kata seems to age at all, which probably implies that Attila is a vampire from Transylvania. During all this time Kata never finds out how is his boyfriend making a fortune, and they don't even discuss getting married, despite Kata is from a very traditional family.
After the car chase Attila is picking glass shards from his shoulder at home. But a car's window is made of secure glass which doesn't produce sharp shards.
Two masked prison guards (or policemen) bring their machine guns with them in to the prisoners area as they collect Attila Ambrus from his cell right at the beginning of the movie - no prison or police station would allow the same.
When Attila calls "Miki bácsi" (Uncle Miki) from the phone booth, the number begins with 7, which isn't a valid number. The phone itself also isn't like contemporary payphones. It's clearly a prop, and not an actual late 1980's phone. The plexiglass booth also from the late 1990's.
The detective tells Attila that he's going to indict him for attempted murder, using this exact term (megvádol) in the Hungarian dub. It's not the police who indicts a suspect but the prosecutor. The police can only suspect someone.
The news anchor announcing Ceausescu's death says he was executed at 13:50. In reality he was executed at 4 PM Romanian time, which would be 5 PM or 17:00 in Hungary. The newscast also makes no mention of the execution of his wife, Elena Ceausescu.
The banknotes Attila hides in the oven are very clean and pristine, clearly just props. Banknotes of the era were very poor quality and didn't look this nice even fresh out of print. The small amounts of cash he hands over in various scenes, such as the ones he counts in the cinema buffet, gives to his teammate or puts into the envelope for the corrupted official are genuine and worn.
In the scene at the slot machine where the characters discuss what to do if they're captured, the beer bottles they're drinking from have no labels.
The episode of Szomszédok (Neighbours) which gets interrupted by the announcement of the death of Ceausescu is Episode 18. It was aired on New Year's Eve in 1988, not 1989. The correct episode would be the 44th, as that was the 1989 New Year's one. Szomszédok was also an evening program starting at around 8 PM, which means there should be dark outside, yet it's apparently daytime. It could be the daytime re-run on the next week, but in this case the breaking news would be several days late.
There were no ads in the Budapest metro cars in 1989. They only appeared in 1995, after the fall of Socialism.
The detective lights a cigarette while interrogating Géza. In 1999 it was already forbidden to smoke in all government buildings, including the national police HQ where this scene was filmed.
The Coke served to Kata and Attila in the cinema is from the late 2000's. In 1989 and even a few years later it would've been a much simpler, classic Coke bottle without colorful labels.
Asian markets didn't exist yet in Budapest in 1990.
When Attila first meets Kata, she boards the metro at Élmunkás tér (today Lehel tér) towards Árpád híd, but she gets off at Nagyvárad tér, which is to the opposite direction. It's very far from Élmunkás tér and it's impossible that Attila run all the way and got there before the train. He also couldn't know where she is going to get off.
When Attila is being chased by the postman on the motorbike, he drives down to the underground passage on Flórián tér, but when he comes up, he's at Boráros tér. The two places are very far from each other. He then jumps into the Danube, and swims ashore in Angyalföld, which is several miles upstream from Boráros tér. There's no way someone could swim this far, in clothing, carrying a bag of freshly robbed money, and nobody noticed.
The car chase begins on the corner of Murányi and Verseny streets. After the chase they crash on the very same corner, coming from the opposite direction.
In the interrogation scene after the car chase the detective asks Attila about his robbery on September 27, 1999. In reality this robbery was a day later, and it was after Attila's escape from the jail, so the interrogation supposedly takes place before he committed this robbery.
The official tosses a Hungarian passport to Attila, saying that he's a Hungarian citizen now. In reality he would've given him a personal ID. Passports were still somewhat of a privilege in 1990 and had to be requested. A personal ID was, and still is the primary proof of identity and citizenship in Hungary.
When Attila meets Kata at the university, she hasn't seen him for months, and it's implied that she already began seeing another guy. Still, when Attila gives her a necklace, she immediately falls for him and they begin making out on the street. It's unlikely that a girl from a fairly wealthy mid-class family would act like this for an expensive gift, but let's just assume Kata is this easy. In the next scene when they sit down in the restaurant, Kata is wearing another necklace. So she didn't like it after all?