In my opinion, any system needs to be accompanied by doctor pay reform, tort reform, and tax reform on employer provided insurance. This assuming that any changes to Medicare, Medicaid and the way health care is managed is also included.
Ideally, state-bound insurance laws would be repealed and a national regulatory system would be installed. This allows for an oligopoly to emerge along with more competition, similarly to car insurance. I would be in favor of moving toward health-status insurance where everyone can receive insurance when they want to, but if they apply when they truly need it, they will be charged more.
This isn't totally thought out in this post, but I decided I wanted to be lazy.