Motorsport is a dynastic sport, at least racing drivers are often followed by their children into the sport. I have made a research on sons and daughters of famous or less famous F1 drivers and where are they with their career progress.
“Sons of” currently in F1:
Nelson Piquet Sr.: 3 times Formula One World Champion.
Nelson Piquet Jr.: Formula One driver. He made his debut in 2008. His best result is a 2nd place in Hockenheim 2008. Otherwise he failed to impress.
Keke Rosberg: The 1982 Formula One World Champion.
Nico Rosberg: He made his debut in 2006. His best result is a 2nd in Singapore 2008. Williams often praise him and he looks like a bigger talent than Piquet, however his critics note that while he may look good against a teammate like Kazuki Nakajima, he was often outraced and outscored by Mark Webber when they were teammates. The jury is still out on him, I guess. Also his daddy is a F1 champion but is often considered to be one of the „lucky” WDCs, so Nico possibly can have the same talent.
Satoru Nakajima: An F1 driver between 1987 and 1991. His best results are two 4th places (one in his debut season with Lotus).
Kazuki Nakajima: Made his F1 debut in 2007. His best result up to date is a 6th in Australia 2008.