OP, I think your "rich" is what most people would call "Comfortable". Enough money not to worry too much about money, but you aren't holidaying in the Caribbean 5 times a year, have a full time housekeeper and a private jet.
The next step is "Well off" which to me is a £250k+ salary, stocks, shares, big house, second home.
"Rich" to me is millions in the bank, several homes, investments, off shore accounts a la Boris Johnson
"Stinking Rich" is Lord Sugar, Paul McCartney, Richard Branson, Michael Jackson, Bill Gates, etc
Am I way off with these brackets?