Althouse has a John Cleese example of the limits of fame.
Here's an account of how Bill Murray handled fame after "Ghostbusters."
My favorite observation on fame is from the astute Mr. Murray:
"I always want to say to people who want to be rich and famous: 'try being rich first.' See if that doesn't cover most of it. There's not much downside to being rich, other than paying taxes and having your relatives ask you for money. But when you become famous, you end up with a 24 hour job."