Alright, I'm going to assume the latest rise in housing costs is probably due to there not being enough houses for everyone. So I'm going to simply say that it takes a long time for housing to be built. Going from planning to built takes a while, and local governments frequently force multiple reviews and restrictions on the builders which make housing construction take far longer than it should.
And don't blame health care issues on the free market, there is no health care free market. States don't allow purchase of insurance across state lines, and they commonly force coverage mandates on insurers. Since insurers have to cover those things, they might as well charge for them. Also, defensive medicine is commonly practiced due to large malpractice suits, so doctors often order tests done just to cover their asses in case of trial lawyer.
The way the current system works is screwed up. A person's insurance is most commonly provided by their employer, who gets a nice group rate for all of his employees. That's good, until you consider that payments on health insurance provided by an employer are tax-deductible, whereas individual purchases are not. This situation came about during WWII and its wage freeze. Employers couldn't offer higher wages to attract qualified employees, so they needed another means of compensation, so they started offering health insurance. In order to provide an incentive for that behavior, FDR went ahead and got Congress to pass a law making payments on employer-provided insurance tax-deductible, but he forgot to tell Congress to make individually-purchased insurance tax-deductible as well. Also I believe that it is very hard or even impossible under current law for individuals to form their own groups for means of purchasing insurance under a group rate.
And, health insurance covers too much. Imagine if auto insurance covered routine maintenance such as tire rotations, tire changes, and oil changes. Do you think people would get tire rotations, tire changes, and oil changes done far more than necessary? I sure think they would. And proper car maintenance is almost as important as proper body maintenance in light of the fact car malfunctions can be hazardous to your health (see recent Toyota accelerations).
If the health care industry operated as a traditional free market, if you had a minor injury or illness you would pay your doctor a visit, you would know exactly how much your visit was going to cost you, and you would pay him directly for the provided services. You would still have insurance, but it would be high co-pay and used only in cases of serious injury or illness.