On another site I was discussing children following in the footsteps of their famous parents- with reference to various musicians with more famous parents. A handful have lived up to or excelled their parents- Jeff Buckley, Norah Jones & Kirsty MacColl spring to mind but by far the most.
With actors though it is another story- many in that profession equal or exceed the success of famous parents- Kate Hudson, Michael Douglas, innumerable Redgraves, Baldwins, Sheens, Fondas etc spring to mind. Not to mention thespians who are the children of non-actors involved in the entertainment industry.
Dynasties are much more likely to emerge in fields where talent is difficult to distinguish. Talent wise there is not much to separate a Hollywood A-Lister and the average jobbing actor on the stage in provincial theatres, because fundamentally acting isn’t a tremendously difficult task.
Being connected to directors, writers and producers is much more critical than mere ability in achieving success.
Song writing on the other hand is very difficult and it is quite easy for a layman to tell the difference between a brilliant song and a perfectly competent but unexceptional tune. The children of the Beatles and Rolling Stones are not going to achieve more success as song writers than someone born to a builder and a shop assistant in Preston if they cannot write a catchy tune.
Therefore the children of successful actors have a much easier time following in their parents footsteps than those of song writers.
Dynasties exist in all fields, even intensely meritocratic pursuits like sport, but are most noticeable in areas where talent is the least critical and connections matter. Based on that idea it can be concluded that other areas where talent is not very important include politics*, media** & fashion.
* Assorted Bushes, Kennedys, Benns, Prescotts, Hurds, Maudes.
** Various Milnes, Corens, Toynbees & more.
*** Multiple daughters of Beatles, Stones as well as the odd Geldof.