This is one of those things that are harder to compare. Mississippi, like all of the US, has free public K12 education. The public university system also extends automatic full scholarships for academically qualified (and the qualification is not that high) students, and also admits basically anyone else who is able to pay, though without academic qualifications they will have to take advantage of Pell Grants (free money but not much) and federal student loans. Of course, you could argue about the results of the system, and admitting students who are not going to succeed in college and thereby saddling them with debt in exchange for nothing is a failing of the US system.

For health care, there are many publicly owned hospital systems in Mississippi, and of course Medicare is available for everyone 65+. Mississippi is not a Medicaid expansion state, so while Medicaid (free health care) is available for children, pregnant women, and the disabled, there is a coverage gap between that and qualifying for the ACA subsidies for health insurance (aka "Obamacare") which is sort of similar to the German system if you wave your hands; I think Austria has something similar, but I'm not familiar, but obviously the coverage is broader.