Most of the artisan cheeses in the uk use live cultures even if the original milk is pasteurised and for some it’s not. The thing to avoid is anything that looks more like plastic than cheese and most of the ones that come in boxes of little triangles!
I too make real soft cheese, not with yoghurt but with lemon juice to start the curds forming, using full fat milk not skimmed.. Once it is solid enough to mostly stay in a muslin, tip it into one and let it hang overnight. You can use rennet too, though it’s hard to get these days and some people don’t like it.