I'm not sure I agree with your premise that there is a health care "crisis" That is a view pushed by those who support sweeping change to the current system.
That said, reforms I support are mostly market based.
1) expand health savings accounts, and allow rollover of unspent HSA dollars.
2) Make health insurance deductible for everyone, not just when it is provided by an employer.
3) Deregulate health insurance so buyers can purchase insurance to cover catastrophic costs only, rather than mandating what insurance has to cover. It would work more like car insurance which doesn't pay for things like gas, and maintenance, and minor scratches and dents.
4) Also deregulate and allow insurers to charge more, or less based on lifestyle and health choices like smoking and obesity.
5) Pass tort reforms that establish a loser pays aspect to medical lawsuits, to discourage junk lawsuits. Right now, American doctors pay as much as $300,000 a year for medical malpractice insurance. They also practice defensive medicine to reduce the risk of law suits. In most countries, the idea of suing your doctor isn't part of their culture, so MM insurance is literally 1% of what it costs here in the US.
6) Allow individuals to pool together to buy insurance at group rates.
7) Eliminate laws that restrict individuals to purchasing insurance plans that are offered in their state, so they can shop among all plans nation wide.
P.S. One final point I'd make regarding introducing market forces to health care. If you look at treatment not covered by insurance, like laser eye surgery, the cost has plummeted. Having full insurance coverage of every little health related expense provides incentive, not to decrease costs, but to increase them. Just look at what government subsidy has done to higher education costs. They certainly haven't come down, but rather have gone up even faster than health care costs. Now Obama is supporting Federal support of community colleges, which will jack up the cost of the last bastion of affordable higher education.
P.S.S. In England which has nationalized health care, the prostate cancer survival rate is 51%. In the US it is 91%.