You appear to be mixing up a number of unrelated issues. Employers often offer both HMO and PPO plans. The differences are typically in provider networks and deductibles/co-pays/co-insurance. Employer sponsored PPO plans don't necessarily make it easier to access higher quality providers — especially because most of the metrics for measuring provider quality are unreliable or even misleading. And in practice there is very little difference in networks between most health plans; the majority of major provider organizations accept all the major plans.

If you really want "First Class" health care then you'll have to pay out of pocket for concierge medicine. That isn't directly covered by most insurance plans, although they will reimburse for certain services delivered through concierge medicine practices.