I can think of one example.

Peter Marshall's son, Pete LaCock was a major league baseball player for the Cubs and Royals.

I'm sure there are others.

Gary Lewis, son of actor Jerry Lewis: musician who had several hit songs.

Luke Perry's son, Jack Perry, is a professional wrestler, currently working for All Elite Wrestling (AEW).

Michael Keaton's son, Sean Douglas, is an accomplished music producer and songwriter in the world of popular music.

Alan Thicke's son, Robin Thicke, is of course, a singer.

Valerie Bertinelli’s kid is a musician, but that comes from dad’s side of the family.

Ronan Farrow, the son of Mia Farrow & film director & actor Woody Allen, is a well-known investigative reporter, journalist and author.

Christopher Reeve's son, Will Reeve is currently a TV journalist, working for ABC News.

Rock Brynner, the son of The Ten Commandments actor Yul Brynner, was a bestselling author of both novels & non-fiction books, including a biography on his famous father, as well as being a successful playwright.

Vera Sola (https://en.wikipedia.org/wiki/Vera_Sola), who is Dan Aykroyd's daughter (her real name is Danielle Aykroyd) is a (https://www.verasola.com/) singer-songwriter, multi-instrumentalist, and recording artist.

Ron Howard's daughter, Bryce Dallas Howard, followed in her dad's footsteps by being a film director

Leonard Nimoy who's best known to everybody as Spock from Star Trek has a son Adam Nimoy who's a writer-director.

Ed.

Rahn Mayo, son of Sanford & Son actor Whitman Mayo (Grady), served on the Georgia House of Representatives from 2009-17.