With the Federal minimum wage currently at $7.25/hr, that’s just $15k/year at full-time. That puts many minimum wage workers below many countries’ average wages [1]. But that’s before adjusting for purchasing power parity.
Being a single earner on minimum wage effectively guarantees you and your family will be in poverty in the US. That is effectively not true in most countries in Europe, even the poor ones. You don’t get to live well or anything, but you certainly aren’t planning on poverty.
[1] California, and San Francisco in particular, have a higher minimum wage but also higher expenses. Worse, many low-education workers are waitresses, which often have a “tipped minimum wage” as low as $2.15/hr before tips (again, San Francisco doesn’t do this, but it’s expensive to live here).
Inevitably, the market for unskilled labor is an employer market because there will always be a supply of workers unless each and everybody has a job. However skilled somebody is, if he doesn't find a job in his profession, he falls back onto the unskilled labor market in every other profession.
It is correct that minimum wage prevents the existence of some jobs. But it ensures higher wages for all of the unskilled workers who create more value and who are not replaced by a lower bidder.
The jobs that create less value than minimum wage are still available for freelancers. Companies have to buy them as a product or service.