Singer doesn’t seem like an example, in most cases.
What level of separation are you asking about? An independent farmer who sells directly? If he sells to a market or distributor, does that no longer count?
Maybe people who do work on others (teachers, healers) as long as there are no other companies taking a cut (e.g. schools, insurance), though if you rent someplace to do work, you profit the landlord. And the utility companies.
And if you report your income to the government, they usually want you to pay tax.
So if you mean that strictly, it starts to get down to black & grey market jobs without a private locale, and that don’t result in buying supplies or anything.
Buskers and street performers?