Géza Mézga, Paula, their teenage daughter Kriszta and that restless youngest child, Aladár. So they are the Mézga family, of course, we might even include neighbor Máris. They always get involved in strange adventures, partly thanks to their "distant" relative MZ/X discovered by Aladár, and partly on their own. With the help of Aladár's homemade transceiver, converted from a radio, they contact their 30th-century relative on the Köbunoka peninsula. Unbelievable things suddenly happen in the otherwise ordinary family. It's no wonder that the mother of the family mentions Hufnágel Pisti's name quite often.

Aladár longs to explore the stars and conduct experiments. To do so, he constructs the Gulliverkil 5 - a spaceship that can shrink small enough to fit inside a violin case. So, along with his faithful dog, Blöki, they set off to explore distant worlds.

Pisti Hufnágel, Paula's first true love, sends the Mézga family tickets to come visit him in Australia. However, when their plane touches down in Sydney, chaos begins to unfold.