The video game that Gunther plays in the apartment is Super Mario Bros. 3 (1988) for the Nintendo Entertainment System (NES). This is one of two movies that previewed the game.
The movie is part of the notorious German "SchleFaZ" series. It was aired in May 2020 on German TV station Tele5. ("SchleFaZ" is a German abbreviation for "The Worst Films Ever." In the series, two hosts present the whole flick, making fun of it throughout.