Housing: NIMBYism and lack of ability to build, mainly by strict government zoning and people who petition their local governments to not build more lest it devalue their house.

Healthcare: insurance companies trying to get away with as much as they can, while hospitals try to charge as much as they can, effectively creating a price bidding war with the consumer in the middle.

Childcare: More people working, lower supply of childcare services but demand goes up, thus price goes up.

Education: Government effectively making student debt undischargeable in a bid to get more people to get college degrees but this backfired. Administrator costs for colleges ballooning.

So, even if wages had kept up with productivity, if you don't solve the underlying reasons as to why these costs exploded, you'll have the same issues as before.