Looking at Form 1095-A IRS Form 1095-A is also known as the Health Insurance Marketplace Statement, and like the W-2 and 1099 tax forms you'll get that report various types of income, this Obamacare tax form gives you information about your health-insurance coverage from Obamacare marketplaces.Source: IRS.owever, with the help of the Obamacare tax form that provides valuable information about your health care coverage -- IRS Form 1095-A [opens PDF] -- you'll have an easier time getting some of the information you need to avoid any nasty surprises from Obamacare-related taxes.