At least top 10% is a clear division for sake of argument. I know people that meet your definition of rich that worry over every purchase even though they don't technically have to. They don't consider themselves in your category even though they are 1%'ers. The problem with "rich" as a categorization (also goes to buy whatever you wish) is that it is absolutely subjective. Your vision of rich will largely revolve around those with more than you have no matter where you stand. It's great for stirring up emotions with wealth envy rhetoric but bad for policy decisions. Hell, most of the people in most of the countries of the world would say that all Americans are rich, something that we know is untrue.
Not to mention the issue of making the standard getting what you "wish" versus getting what you "need." Unless you are talking about the top fraction of the top 1%, people can always find stuff they wish for that they can't afford without thinking.
So let's pick some quantitative data points to define what is rich. If you're talking Top 10% then you're talking about 33 million out of 330 million. To constrain to top 1%, then you're saying 3.3 million people. That seems like an awfully small group of people. Maybe we can say that "rich" is securing your basic needs (including housing, transportation, food, healthcare, education needs for your family, and executing a viable plan for retirement) without having to worry about how you're going to pay for it every month. Because you all keep telling me that most families cannot meet those needs and so I would think that meeting those without thinking about it would make you rich.