When people say "Obamacare insurance," they typically mean insurance within the health insurance marketplace. You can get health insurance outside of the marketplace by going through your employer, choosing COBRA coverage if you leave your job, or buying a short-term health insurance policy through an insurance agent. ACA-compliant plans meet all the benefits and coverage requirements of the Affordable Care Act. But you may be able to find supplemental or short-term coverage that simply provides peace of mind for major medical expenses.