1) the minimum wage doesn't get increased with inflation
2) many jobs require a higher degree (which takes capital to pay for), or effectively require working for free via internships (which requires capital or someone else subsidizing you)
3) many higher paying jobs preclude you from working there if you have a criminal history (which is very disproportionately likely to be true for some demographics than others, in many cases just due to disparate enforcement), which effectively suppresses wages for many millions of people.
On the housing side, any policy that restricts the building of new housing in order to limit supply (and there are a lot of them) will drive up housing prices. This includes things like minimum lot sizes, enforced parking requirements, etc. It's pretty much universally accepted in the US for local politicians to talk about 'protecting home values', which usually has a subtext of [by keeping poor people out of our town]. This is probably the _most_ common policy topic in my well-off suburban community - every proposal for multi-family housing gets fought tooth and nail, it's virtually impossible to build more than 1-bedroom apartments 'lest our schools become overcrowded [by poor people]', etc.