Are there any? Set in the more-or-less real modern world, that is. Not fantasy worlds. The past decade or two it seems that its the in thing to portray the upper class as villains or terminally stupid. Or both. There are a number of tropes there. No episode of Sharpe was complete without a lengthy diatribe against the upper classes, for instance and Harry Potter had the Malfoys.
Works set in the past but written in the present are fine; those written and set in the past are not. I’ll leave the cut-off date to your discretion.
Speaking of omnicompetent guys who inherited the family’s stately manor complete with faithful butler, the most recent James Bond movie seems to have put a nail in the coffin of Vesper Lynd’s guesses about everybody’s favorite Royal Navy Commander: she figured he went to Oxford or Cambridge without coming from money, but, c’mon.
The GREEN HORNET movie came out fairly recently, and revolved around a rich playboy inheriting the rest of the family fortune – prompting our hero to figure you know, as a newspaper publisher with a bulletproof car, I think I can make this city a better place.