When does a home qualify as a "luxury" home? There are probably many different opinions, but I would break this description down into two groups.
First, luxury homes are typically going to cost more than $600,000 - at least in the suburbs of the Twin Cities in Minnesota. That doesn't necessarily mean that there won't be things needing to be fixed in these homes, but you can generally expect homes priced over $600,000 to be in good shape with modern amenities and fixtures.
Second, because most new homes contain modern appliances, new lighting, energy-efficient heating and cooling, and so on, you can usually assume they will contain "luxury" items that are in good shape and are desirable to buyers anticipating few repairs or maintenance issues. If you are shopping for a new construction home, be sure to thoroughly check out the builder and shop around to ensure you get the amenities you expect in such a home.
Please let me know if you have questions about buying luxury homes - I am always happy to have a conversation. - Tom
Here is a video of luxury homes I have helped clients buy or sell.