Four things come to mind that Belgian friends living in the US told me and that they're annoyed with, where I'd say we have more freedom than an American:

First, in Belgium we have complete freedom of choice of what school we send our children to. If I would be crazy enough to get up at four o' clock in the morning because I want to drive my children to a specific school three hours away every morning, I'm free to do that. (Not that it's necessary, there are hundreds of schools in a 30 kilometer radius. In principle it's possible.)
That whole "school districts" thing is unknown here. I know the topic is very politicized in the US, so I'm withholding value judgment on this one. "School vouchers" to create more freedom to chose are a Republican thing; "School busing" to counteract segregation is a Democratic thing, so the debate is far more toxic in the US.

Second, kindergarten, lower grade and high school are free or near free of charge (apart from meals, school trips, and educational material like books). I suppose it's the same in the US public schooling system, but here every school, public or private, receives government funding for the teacher's wages and buildings. There are a few rare exceptions, but these schools aren't particularly known to be better or worse than the government-funded ones. So money's rarely an issue when switching schools.

Third, I have complete freedom to chose any hospital, doctor, or specialist I want for any surgery or treatment. In the US private insurers can refuse this choice with the "This hospital is not in our network" argument. That is unthinkable here.

Fourth, I can change healthcare insurance provider any time I feel like it, and my employer has nothing to say about it. In the US, healthcare insurance (above Medicaid and Medicare) is often tied to your employment contract, so you're basically stuck with the provider your employer negotiated with. If you're rich you can dance from one insurer to another I suppose, but that's only for the happy few.